SCIENTIFIC ABSTRACT PETROV, A.V. - PETROV, B.A.
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CIA-RDP86-00513R001240420003-5
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RIF
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S
Document Page Count:
100
Document Creation Date:
November 2, 2016
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July 19, 2001
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3
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Publication Date:
December 31, 1967
Content Type:
SCIENTIFIC ABSTRACT
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- ... I . - . q., I.- .- j . - .1 .. 1 11 . . .., . .
- -r
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f,E-llwvp A.V.
Water vole in imsk Pr-vince. Zash.^h.ras*,.-', vred..' -
no.6s53-54 N-D 159. k,.c i~.A - -, . _- - )
(Omsk Province--Fielci mice--Extermination)
D041AKOVICE, Petr Andreyevich; IIKIIALKOV, Aleksandr Vladimirovich;
ilMoVj Aleksandr Va.9illyevich; FOYARKGV, KJII., red.;
SORMIOV, N.I., tekhn. red.
[Kanufacture and maintenance of ggs-discharge light fiXtLres)
lzgotovianie i obsluzhiv-inie zosvetnykh ustanovok. l'oA--va,
Gosenergoizdat, 1962. 54 ~,. rai,ilioteks. eie,tronontera, n(,.7~)
(MIRA 11~-1-2'~
(Fluorescent lamps) (:,'1uo,-eBcent lighting)
WSR/Chemical Technology - Chemical Products and Their Application. Silicates.
Glass. Ceramics. Binders, 1-9
Abet Journalt Referat Zhur - Khimiya, No 19, 1956, 623o6
Author; Usov, P. G., Petrov, A. V.
InBtitUtiOD: None
Title: Deformation of Articles Made from Red Clay on Firing
Original
Periodicali Izv. Tomakogo politekhn. in-ta, 1956, No ;3, 156-A2
Abstract: Study of the effects of addition of' 21 NaZO azxA CUCU3 to red
clays of different mineralogical and dieperaive composition on the
temperature of deformation under load. Addition to red clays,
having a low content of fine fractions (40.001 mm), of Na2CO3 and
CaC03, ELffects the temperature of deformation of samples under load
less drastically than clays containing higher percentages of fine
fractions. Deformation of samples made from red clays containing
CaCO occurs sharply and within a narrow temperature tnterval and
the Lformation sets in at higher temperature. Presence of aLkaiies
Card 112
PETHOV, A.V.; PASECHNIX, A.Y.; ROINOVA, L.To.
[ (Ila as f i be r9 ITkani iz stekle. Tomok, Tonakoe kmizanoe
izd-vo. 19~9. 29 p. (MIRA 13:8)
(Glass fibers)
PlOrROV, A.V., kand.tekhn.natik, dote., inzh.-polkovnik v otstilvVe
Derivation and analysis of projective dependence formilha rinA
application of the theory of errors to photograometr7. Trudy
MIIGAIK no.34:43-77 '59. (mlu 13:")
1. Mookovokiy institut inzhenerov geodezii, aerofetoe"7emki i
kartografit.
(Aerial photogrammetr7)
PFTROV. A.V.. polkovnik moditsinakoy alushby; WiZIN, V.S., mayor meditainakoy
sluthby
lIndolumbar pneumotherap7 and or/gan therapy in treating severe forrs
of hunbonnernI radiculitio. Voon.-med.zhur. no.l-':69-72 159.
(mIRA 14%1)
(NERVES, SPINAL-DISEISES) (01-YGER THERAFT)
AKSRWKO, Vasiliy Danilovich, kand. tekhn. nauk, inzhener-podpolkovni-k;
-MROV, Aleksandr VladimJxovich, inzboxer-polkovnik; POCHAiZV,
N.F., kand. tekhn. nauk, inzhoner-polkovnik, red.; SRIBCHIS,
N.V.# tekhn. red.
[Planetary and hydraulic transmissions] Planetarnye i i7idravli-
cheskie peredachi. Moskva, Voen.izd-vo M-va obor. SSSR, 1961.
2-45 p. (MIJU 15:2)
(Automobiles-Transmission devices)
(Vehicles, Military-Transmission devices)
L 06402-67 LJP(c) BB/GG
.ZC NRt AT6024281 SOURCECODE:_
AUTHOR: Petrov, A. V.
UR/2976/66/000/005/0066/0074
ORG: none
TITLE: Certain principles in the design of permanent memory systems
/11~~, 11Y
SOURCE: Moscow. Washeye tekhnichtakgyA_uQhijjahrJir_ Vychislitel'naya tekhnika, no. 5,
1966, 66-74
TOPIC TAGS: electromagnetic memory, data storage, computer storaFe device, magnetic
circuit, ferrite core memory
ABSTRACT: The author describes various types of pernanent and semi-permanent dirital
data storage systems intended for "read-only" operations. All devices considered in
this paper are based on magnetic effect. The permanent storage systems include fixed
matrices of electrical elements, e. g., diodes, resistors, transformers, capacitors,
and others; the semi-permanent storage systems also make use of matrices containing
sensing devices, but the actual information storage is in terms of various switching
mechanisms, perforated cards, patch-boards and related devices. In the ferrite core
permanent memory variation of mutual inductance between the primary and the secondary
windings of special transformers is used to indicate the tfoir and "I" logic states. The
transformers are arranged in an x-y matrix. The ferrite cores are inserted to increase
Card
Tr it ns idtL(-,n f r~)tri- Re f,- r -t. Nit-, a N r ~:SSR)
AUTHOR, A
ff(jA tr, f,i( rc;i~r 'ht- P-~,di.t -,pc hhwrilirip NI-1.
(tl'-'v!IkhvTw'v g~
PERIODICAL r i N,iu, hfi- tckhti. t , hcrt.-v iiwt,t'iutg, r c
pr.,,, ' %'"~ I PI) 9t, 14 1
A BSTRAC F: At tht- p,,irt i -~vr o-~ i)t
\xcrv perh-med t. r,it r ,, it., the pr,)rJt.c ti',i!v t)f the
t. he d ; t, !8,j T I , wt (A t he t (,nne ( t ed p ro
ti~-,n ei ti(,r;- . A n-~~w (le v. I br. A the 6',~()mtng mi), mlls
dv%eJ,,pt-d jrdl a cl i, p v d, -hi( h pt- rfyi.-cd ,, I(, xe r ~hv number
1A p,i e r um I '~ t, j 7 hir fin., ( A '(Wx 'io mm
,j n c w v e m , f r, R i , i (I t, pt h c 8 0 0 m m m
(the R ~)f the R '4 li,,rce 'onfl -tc,d i-1 tw~, i,
It,, the ro;!,r!ji4 .,! (41 , r K , n :,.k (i j ri o r. (d ,,ie. the
initial ( ro, -; -v( (- r, f t h t ty i, ~,)rn w,i n ~ r f,,j v d f r rl,. '00 x ' 3 0 m rn
t t ) 2 4 0 x ' f M T 1. 1-11 d A r n h t: R - , I q v) a r v a Tid i v v : h i v I - in d t r'jM
Card i 2 i7;xJ-:,mrn d.r,t,w 'ht- R Of !T,Alt',T- tr.!aAs. )
17 7
H(jw It,, the Prorl'Ictl ty jc~_,.,
rho, ()pq-r oimi (,I j), w,,, pr( n(i 'he mv f,)r
the heatirls4 ( I ';t, r it] ir)(,- in the not !n ut furrAL V A .1 Cd
b ~ W pe rt ent. Ffir -lep, m(tL( ~tcd ard Ihv vmplw~ ,t lim led
mvi hanizaliwi t~,r v r i n tiit.( i ion f rTipro% cd -trri~ r the re
T-Iuk,i, 1.1 ( I P t h , I ' iri,m of mr( hjr~ i ( j jp P(, r A ;th the
-flea r I he ~ t1 , ~ t.t ~ (,I % f ii:7- tt'r the renit.- tA hv trimmed
b i om wi ) r,- i ri 4 p k, r v n I i ri r v j - v , n h v i) u p,j t -f
j 'J 4 (~rTi p., r t (I r; etit . ri, r v
P,,i red -A it '44(~
D
oo- u ion
C a r d 2
PETROV, A.V.
Sprayer for lubricating ingot molds. Sbor.rate.predl.vnedr.v
proizv. no.5:16-17 160. 14:8)
1. Novolipetskiy metallurgicheskiy zavod.
(Foundries-.AlUipment and supplies)
PETROV, A.V., tokars.
improved cutter holder. Gidroliz.j loookhim.prom. 9 no-5:23 '56.
(KWU 9: 11)
1. Khakasakly pidroltzn7y zavod.
(Cutting too.13)
FETIM, A V -
'.., '. - I - . -:,- , I , , 'r ", . "". , * . - - :. , .
. 1-.. 1
-1 c. I;r . - : , ~) , . .
. 0 ,I
. , : -1- , - " . . , : -
;1.11 " 'I , , .
. , , i,. 4 .. , , -; . 4
. I I . I . .
: 1. 11 ~ ~- I , , .
- . . - , ; I -. ,
. .9 .
KOSTTULZVICH, N.I., inzh.; TKUN, P.P., inzh.; P&ROV, A.Y., inzh.;
SHATOV. B.M. , red. ; ZFM NETSKATA, L.V. , red.; YKRSHOVA. T.5. ,
te khn. red.
LReference manual for the now agricultural machineryj Katalog-
spravochnik po novoi Be!' i3kok-hozialstvennoi tekanike. Moskva.
Izd-vo K-va sel'. khoz.RSM, 1959. 98 p. (MIRA 13:6)
1. RUBSia (1917- R.S.F.S.R.) Glavnaya inspektalyq po makhani-
zatsil ael'skogo khozyaystva.
(Agricultural machinery)
PETROV, A.V., inzh.; DAVYD07, S.A.
Meeting under shelters. Mont.i spets.rab. v strol. 24 n0-121
20-21 D 162. (MIRA 15:12)
1. Treat Soyu=%ryvprom.
(Blasting)
T.
, - ; Y Y. T 7ETIR~-,"L~.
2. (6(( )
np 7'aci, i np r-/
c v~
I T asi rig ulie f t aJ 2
M
thly
on List Of Russian Accessions. Library of Congress, -anuary 1953. (Inclassifie(j.
MASaTA, Nina Ivanovnn, ptichnitea. Prinictal uchDstive PWROT. A.Ta.,
sootekhnik. ZOLOTUKHIW, B.T., red.; SBMMCHIX. S.I., red.;
u *)aU, Te.A., tekhn.red.
LProducing 1.000.000 egga per year] 1.000.000 isits v god.
Kulbyuhev. Kuibyahevakoe kninhnoe lzd-vo, 1960. 14 p.
(KIRA 14:1)
1. Kuybyahevsknyn ptiteefabrika (for Nenashein).
(Kuybyshev--ZrX9--Productlon)
PSTROV, A.Te.
Water resources in the arF~a -.1 ~mrjgpl'dy deprsltE. Tr%e-Z Ing't.
g9ol.aftul, AN Kaza~-h.S.;R no..-: 12~i-150 '59-
(MIRA 1):4)
(Amangelldy District-Ilydrnloa)
KOVALEVSKIT, Ye.P.-. PATROV. A.Z.; KARTMNKO. V.P.. otv.red.; SHORCKHOTA,
red.izd-ve; IMINSLATA, G.R., tekhn.red.; POLILUYICV, V.I..
tekhn.red.
[K-57 and XIJ-57 coal cutter-loader] Ugol'aye kambainy X-57 i
KU-57. Koukva, Gos.nnuchno-tekhn.tzd-vo lit-ry po gornomu delu.
1960. 70 p. (KIRA 14:1)
(Coal mining machinery)
Z.
SMOCM. N.; FMOV. A-, nauchnyy sotrudnik
1%
Worm cutter-loader. Mast-ugl. 9 no.7:18-19 JI '60. (MIBA 13:7)
1. Zamestitell glavnof;o iuzhenera shaidity 110.3 "Grankovskaya"
kombinat,a Tulaugol' (for Svotochev). 2. Podmogkovmy-y na chno-
isslodovqtel'skiy up:olln7y institut, (for Petrov).
(Coal mining machinery)
7
,~~.~4oo
AUTHOR
T ITIE
Pe t r,~v . A Z
A
C (- n c, e -T. w '- i ~r s
PERIOD:CAL Re f pr a Ii i Z -.;i F.
(U,--r. za~ Kij:, a:, z,
TEXT, 1~'.e a.1'r.cr ~X~'
,ie itlga~ ' :on of En.9-
shown Iha- the rijmter ar~ a: i
equa, Inns zn ' , , '~- --; - 1~--
r I -s,. * y pe ! r ~e W. F~! 5,
tIons 3f ~,nree an-I !"" !. i -a me
second *yp.-, !- w ar, I
space -)f tne ~.n'r-J -ype, "; : .:
of analysis .)f bounda~-; 3~A 3
contrast to spa-s f i~- i I I a j, i
Card 11,2
Cr, r, 1, . : T. I, It; , ",
I I
!:i I~w Ii S i r ... '. . .
A (- ~ a f, I: S. ', . " . ; '] -
: r, : -~ j . ~ wr
I Abs- , a -,. , , :~ , p
Ca rd ~ -)
USSR/kathematics - Tensor Analysis 11 Nov 51
(Gravitational Field)
"Spaces That Determine Gravitational Fields,"
A. Z. Petrov, Kazan State U imen! ITI'vannv-Lenin
"Dok Ak Nauk SSSR" Vol LXXXI, No 2, pp 149-152
Sets up the problem of detg the general soln of
the ten or eq R w-' kg namely the condition
8 i~enso uYthe fundamental Einstein
vhich the Ricci
metric ds2 = gi.ldxid.5 satisfieo. Submitted
15 Sep 51 by Acad T. G. Petrovskly.
1g%%
TIMCV, A. 2.
Mathematical RevieWS
Vol. 14 No- 10
Nov. 1953
otontry,
X~etrov A - Z-v"O'n gravitational fields. Stodvadcat'pyatl
-~ Neev idovol geometrii Loha?evskogo, 1826-1951
[One hundred and twenty-five years of the non-Eurlidean
geometry of Loba&vakil, 1826-1951). pp. 179-180.
Gosudarstv. 17.dat. Tchn.-Teor. Lit., hloscow-Leningrad,
1952. 7.60 rubles.
A classification of Einstein manifolds T,, d31-Z,,dx1dx1.
Rq - kg... is possible by associating to every point P thel
local Klein space Re of the bivectors, with transformation
group
gag,t - gag)&-g.s. a, 0, 6.
If the "bivector curvature"
K__ R,I,Ivllv" -
(gagil -g,jfjk)V1V, C.Wto
then the elementary divisors of the matrix JJR.o -Kg.,,Il give
at most 2.3 types. Of these no more than 9 types can repre-
sent real gravitational fields: 1) T, with real stationary
curvature 2) T,
with complex stationary curvature Eff IT]]]. [(11) (11 f1j,
(TflTM)(II)); 3) T4 C(33)]. The ds' of the first two tylies
is copiputed; to the second type belong the solutions of
Schwarzschild. Kottler and Delsarte. The third type,
[0 11111) 1, is the space of constent curvature with local
Nlinkowski metric. A J. S, ' (Cambridge, Mass.).
P7- 7
41;
`0 maximal,mobUlty whlck,`,~
BAL Al. Nauk S
RIM "LAW
04
(1955),905
ri,4
v, Vi -td Riemannienne ZVOC
t Hni
iele 'd
~~iip~",O~itationel 4,
r
M m
114A
mine -g-
W &ter d
ua~~ taf_ Mment la 66mittie d
damental
et 1e t6nseur too
6b'-- n-,
R
ibit ir6.i-T!aiAeur.-_-a'.montfV
in e" 9 rai
dans' AravaiF
lu' existe
i&ent seulem,ent trois t i de'
Pet Oft,ts
pa
_..::",.,Dihscet artfole on'dtudie la, quistion &i out ks-tyjm
or,
sliace -it' dre'
d# a possment -k groupe- des',piduvernexits
~_ifilWrnum. Oniortitriiitd'ab,6rdiin~'t'SP"10-46diz~eilsionsf
t cantr,6-affin, fornd par les bivecteari,et dans
ld~tnien
leqtiel i1 existe les tenseurs symAriques R 'b=Ij
eb, gab a,
u Chunp.-de 4
6).. av
ee d6t fgg~j 00~ rom. types:.d
-de la
tation correspondent: aux twis.caactisistiquett'
;~:gmvj
likilce, jJRlj-4,gGdl.' On Peut obtellir'dolix
tth ie caraicVrlsdquc'et Ourcette rafsonon,.,
i
a aqi
6t -dire que pus:p vons tross cmples'-de'radnes CO-
__46il =a O.-~ Ealt
plexes_-onjug&g de I'6quioan
d' I' ~quttiah do r~o t di!~
I'PMUhtz e 4 twernent. V4 e con
ditfaid
Xke4i~buU de eett6,ioilitf6n:.O.n..ddzllontze ks f -
PITROV, A.Z. (Kazan')
linsteln's apaces with stationarY curvatures. Ucti.zariJaz.un. 1l)
no. 10; 18 '55. (MLRA 10: ~, )
(spaces, Generalized)
-- PETROV, A.Z.
Ordiaary gravitational fields wIth real vitatioaa" f-,jrv&tijr*9. Uch.
zap. Iaz- us. 115 ne.14:41-52 '55. (XLRA 10:4)
(Field theory)
F--RCV, 'i. '. ~;oc '!i"h ",,i -- : i'~' '~ ) , , 'r ~', '- p 3 1 - ~ 17 7-.Z - --- -- '
b.,,r rip] 11!-, of t lon, " --i z -t ii ' , 1 1 ~' 17 p I , I- I.-, . 1:~ ) r
'li -her -Aiica~ion ;: ', A?. ;%'ite : niv im . . ~)" .
*k
,,, ~1' - n
. -Ind --itj I ; , ~'-- i'~ 3
I I )1-
.-I -- . / , ~' I
PETROV, A.Z.; ZATVORNIKOV, S.V.
Motions in Irreducible Riemann symmetrical spaces of the first
class. Uch. zap. Waz. un. 117 no.9:35-40 '57. (YJRA 13: 1)
I.KazanskV poeudarstvenny7 universitet Im. V-I- TJI'7anova-Lenina.
Kafedra geometrii.
(Spaces, Generalized)
letrov, A.Z. SO V/ 140- 58-6- 2Z,
Classificat.~n of ;enera~
(Klassifikatsiya p-,1ey tyap~oteniya jbshchego vida)
PER101ICAL: Izvestiya vy.9shikh -ichebnykh zavedeniy. Matemat.,ka, 10 -, :;r
pp 226-232 (USSR)
ABSTRACT: Let the space VV defined by a certain distribut_,~n and
2 Ok
of the matter, have the metric ds . 9Mqi,X)dx dx~ . Let it
Satisfy the condition R -A 9 "'/3 - A Tfor Einstein fields,
x a 2 CKO
where R IS the RICCI-ten3or, R 13 the curvature, TO(A is the
energy momentum tensor. The author introduces the so-called
space-matter-tensor P as follows:
FC"O r cfR0((3 'r 3A~3 where
S -K T T 1/3j TO(f -9
"A OY
7o i th the a i (I o fthe ten,3(jrPr 9the nuttior qucrf_t(-do :i.
extenflin~, ~nl -, Pi r 1 1 1, r ri, Bill t 1?, 0 fl , ~ 7 ON the r lan:11 r~
Einstein qpacen to the more general case if about T,,,, no f'ur~nez,
assumptions are given. The classfication of the fleds :f
,ard 1/ 2
ClaS3ification of the Field of ',rav itaticn of General Form SCV,,
gr a V I ta t i r, i ~-, -omt: ne I wr.e a I ge tr a l c 9 t r-,1(,- t~,Irea
-he
. . :~re.-~ent paper i s puL 1i st.ed instead of Petrov
Symmetric f i fj 1. J.9 o f grav i tat 1 on ~ s--ibmi t t ed March 1')n
There are ~i references, 4 of which, are Soviet, I Ame r i cin
1 French, anc, I English.
ASSOCIATION:KazansKi i gosuaarstverr,.jy ~nivprs:lpt
(Kazan' State ~niver3ity imer.,
SUBMITTEI- Jctober 23, 1)'Fi
bard 2,12
1,
PZTROV, A.Z.
Symwtric gravitation fields. Izv.v3r~.ucheb.z&v.; mixt.
no.2%169-197 '59. (NUU 12,5)
1. Kazanskly gosudaretyennyy univerBitet im. V-I-Ul'yanova-
Lenina.
(Yield theory)
16(1
AUTHORS: retZp_V,,A 7. -59-6-16/29
Xaygorodov,V.R., and SOV/140
Abdu 111 n, 7. N.
TITLE: Classification or 3eneral Gravitational Fields With kr~spect to
the Motion Groups, I
PERIODICAL: Izvestiya vysshikh uchpbnykh zavedefiiy. Matematika, 1~59,
?1r 6, pp 118-150 (USSR)
A.BSTRACTt Like In the papers of Cartan and others fRef 1,2,5__7 the
classification of the gravitational fields is reduced to the
determination of the V 4 which are invariant with respect to
certain motion groups. This method is applied very systematically
by classifying known results into a scheme and filling up the
existing gap3 (e g V, with G V with G acting transitively
21 4 31
or intransitiveLy on rion-isotropic or isotropic surfaces of
transit ivi ty)
The autk,.ors mention ; I Kruchkovich, and I P.Yegorov.
There are 15 references, A of which are Scviet, ~ Italian,
1 Roumanian, ' 3erman, 1 French, and I American
A33OCIATICNtKazan3k1,y f-o9udnr.3tvQrnyy universitet imeni 7 I.Ul'yar,,)va-~enina
(Kazan' State Univpr~:ity imeni V I,Ul'yarjov-Lerin)
SUBMITTEDi December "k,, '958
Card 1/1
FEMOV. A.Z.; KATGOROWV, V.R.; ABDULLIN, V.N.
Classification of I-enarld ty-pe irravitation fields with respect to
motion groups. Part 2. Izv.v7a.ucheb.zav.,, mat. no.1:175-187
160. (MIRA 13:6)
1. Kazanski7 posudarstvenn7y universitet imeni V.I.Ullyanova-
Lenina.
(Gravitation)
O1O-)".,Io(..I xr
AUTHORSt Petrov, A 7, , FayF,,r-)dov, i,~d A~~-i-
TITLEi Clansif icat ,on , f the 4rayi tational F,)r,n
According to the Groups ,)f Motions 1111
PERIODICALi Izvesti.va vysshikh u,hebnIvkh zav-,I--niy
TEXTs The present paper is a continuation of (Ref 1,2) of the authors
and is ba-sed on the notions and considerations nf these earlier pacers
The classification of general gravitational fields is ~-nrtinupd for somp
further cases Amongst other thingg the authors give suitable canonical
forms of the metric tensor i ~ ', ~ravitalional fields admitting r:~n
transitive groups of motion G 4 on V ; 'he authrrFt f,,nd 16 li~f~rpnt
types of gravitational fields ri 6 ~ !-Rv i tq rta I f I P ' 1 9 q inci * i ni, a r.-r,
transitive group G, on V* ; 10 diff,~rent are given ravitation-
al fields admitting simply transitive i7riupa of moti-r.
Ca. rd I / ?
Classification of the Gravitatir,nal Fields xx
of General Form Arcor,lino~ t,) ~h-~
Motions III
types are given It is annrunr"d Frfi,i~ wi
will be ronsidered ,n the next r,it)' i -a' ,-,n
Th,~re are ; references : 4 Sovle~ an! I Ameri-an
Abstracter' s note : The meari ni7 r)f thi- numeri :a, r,~qu 9 -),lid r-X
completely he understood sir,:- tho used svmb-.s nr.tj,7-
ations are not explained ir. !~n- paper IRef ar-P papers -~f the
same authors in Izvostiya vysshikh uchehn,W, zavedeniv vatema!lka
No. 6 and lzvestiya vyast.,,k~~ li,~hel)nvkh Va ~, e ma t ~. i(aC
ASSOk:IATION: Kazanskiy g,)9lidarstvennyy 1.meni V. van- va
1,enina (Kazan' State ty .meni 7,'. ", vanov L-rin)
SUBIC TTFD: December ~O 1 0 1~')
Card 21';
p'. "i (;'.' , A ~ .' . ; I ; ., ~ -. I " , ; -
.i.. , - : ~* . -, . . '",
~ ~. '. 7! -, ~.' , ., . .
I I I - - . I .. , I - .1 - - " . - . . . ~ ;: .
I . 7 . ~Irl . I . I .
AK6036120
fttrow,, Aleksey, UnWie"ch
.,.,New methods in ibe Seneral theory of relativity (NOVM metody v obahchey teoril
otnositellnosti) Moscow. Isd-vo 'No". 1966. 495 p. biblio., Index. TOOO
copies panted.
1W TAGS: quanUm theory,, relativity theory, gravitational field,, Einstein
*Vwe field theorry
-~Rvmalkwz AND OOVUM: Tkis bcx* In Intended for scientists, graduate students,
and advanced staients of "lee ad machanica-mathdastics departments. The
Intensive development, of field theory In modern physics, and particularly the
theory of field grevitsition within the fftw4ork of glastaln's theory of relAt-
tlvltyv demanded the applicatlon of modern methemUcal methods, This book
discusses the application of Invulsiat-groW metbods to the pmblaw of the
womml, theory at relatIvIty.
T=B (W mmm tAbriw)
--7
Cho 1. PrIsciplee or tomm 1-014 -- 9
Ckjo 2. Rinstalate assees - 76
t - T'r A. N~-,P' Fyr.
)sophl, ::a I ru W-m.i n F!
n re I it t 1, v t I f i
wt cluirki,
FETPOV, A.Z.
Centrally aymmetrical gravitational fielda. Zhur.eksp.i teor.
fiz. 44 no.5s1525-1533 My 163. OGRA 16:6)
1. Kazanskiy goaudarstvennyy universitet.
(Gravitation)
L,10229Q63~ (l)/BW--AFF"I C/A5D_Fs-4-Vd
ACCESSION M: AP3000045 8/0056/63/00/005/1525/1533
AVEM: Petrovo A. Z. W F
TrME: On centrally-symmetrical gmyltatioral fields
i SOURCE: Zhurnal eksper. i teoret. fiziki, v. 44,, no. 5, 1961, 1525-1533
TCPIC TAGS: Relativity, gravitational waves, central symmetry
ABSTRA~V_ It'is shown that the well known statement of Birkhoff (Relativity and
Modern Physics, Cambridge, 1923, p. 256) to the affect that any centrally
symetric gravitational field in vaci=_.should be a static field, and thus
determined by a Schwarzachild matrix (apart for a coordinate transformation) is
true only uM some additional conditions. The conditions, u vIhIch the
solution of the centrally-symmetric field:equations In vacuum are sought, are
rigorously analyzed. A physical interpretation is presented for these conditions.
The general solution of these equations is found to be generally nonstatic and
containing an Imemovable functional arbitrariness. The additional conditions
are-equivalent to certain assumptions regarding the wave properties of the
Card
L 10229-63
ACCES SIC0 OR: AP3000045
Einstein field equation solutions, A centrally-ayzmetrical field in vacuum,
capable of supporting shock gaves,lis discussed and the solutions w1th shock
waves investigated. orig. art. has: 2B formulas.
ASSOCIATION: Kazanskiy gosudrArstvennyy universitet (Kazant State University
suaa=: iioct62 DATE ACQ: 12jun63 ENM: 00
SUB CODE: PH NR REF SOV: 006 OTHM: 012
cl 212
zavo; -aa*,. rc. i: -L~2
i'ar t 4. Zv.
rosudLLrstv(-inrV-,, univero~.tet Imurd V., 0yFLnC-Va-
(Gravitation)
-hecry o~
PHASE I BOOK EXPLOITATION SOV/6023
Fetr-v, Aleksey Zinov'yevIch
Fri3transtva Eynshteyna (Einstein spaces) Moscow, Flzmatgtz, 1961.
463 P. 15,000 copies printed.
Ed. A. F. Lapko; Tech. Ed.: N. Ya. Murashova.
PURPOSE. This book is Intended for those specializing in theoretIcall
mathematical physics, especially In the theory of relativity,
COVERAGE; The book is concerned with the study of spaces lying at
the foundation of the general theory of relativity and their
generalizations to any number of measurements. The author n~is
limited himself to a discussion of those problems of InterEst
tc physicists and mathematicians which have not been treated in
the standard works in the field. This explains the emphasis on
,he malhematical side of problems and the partl--ular attertion
glven to four dimensional spaces with a Lorentz-type signature.
3,Dme rf tn- _-best developments in the field which have been
1'-P*_)rr- _n In the voluminous periodical literature have been
Card , f
spaces
3OV" 6 0231
in-l,jded In the present work. Approprl~ite referer-es '' 'r~~
~iollography have been made In the case of prcblems wr'-r
re author has not, for one reason or arother, b,~-er :0 -,-
- Jeal with here. Attention Is focused (-n pr~t,'-ns Wr '. j
iT-4 tf the greatest curreant Interest. These In,-,I.-Ije I,
I I - at Ion of Lie groups to the at udy .-,f f le.1 ds (7 f
the CAuchy problem, methcds for the Invarlaril
a J,
sl-idy of Einstein spares, etc. The author has
h r- r gthe reader to a better, underst arid Ing of 1~ e r(~l
m,?t 1-1rds of investigation required for the study of protl- M5
,ju-h as gravitational radiation, the behavior (if clempntai.%,
particles, the Interaction c-f fields, et:-. The vi~.hrr
ank.3 A. F. Lapko. There are 362 re"eren-eB, rnBt y
E-gl 18h, anl German, but with some Fr-er:h ard 'I'al-lan.
;A.ELE OF CONTENT3.
F- a-~
J
Flnsto,ln npa( es SOV,6023
Cl-, 1
. Principles of Tensor Analysis 7
I
1. Rlemann manifolds 7
2~ Algebra of tensors 13
3. Covarlant differentiation 20
4. Parallel translation In the space Vn 25
5. Tensor of curvature of the space Vn 31
6. Geodesic lines 38
7. Special systems of coordinates In V 42
8, The Riemann curvature Vn- Space n
of constant
~:urvature
9, Theorem of principal axes of a te nsor
10. Lie groups In Vn '75
Ch. H . Einstein Spaces 88
il. Principles of the special theory of relativity.
Lorentz transformation.
1,;,, releld equations of the reiaLlvIst ic theory of
gravitatIrr
1 4- E I nst 6paces
Car,1
. .- . I - - . .
(" ~ - I " , "
Mlicv p A. Z. ; R'l ~~ GA, FFA', I M. , red. ; ,;jyajoV, y u. P. , tekhn. red.
IST'ac-, Li,,.e, and mptter; elerentar-f outline of the modern
thpoT7,, of rf-Lat-I'vity' Prostrpn8tvo-vremia i materlia; elernen-
tarn,-4. jc-,(-r-k snvre!err.oi teorii otnositellnosti. Kazant, lzd-
(YaA 15:1)
vo Kaz~li,..qkof-o univ., 1961. 79 . .
(rtf-Intivity (plqrics))
PETROV, A.Z.
Geodesic re:resentati(Dr, )f Einstein spaces. Izv- vvs. ucheb.
zav.; =at. nc.2:13,--136 161. 1XIRA !,:3,
1. Kazanskly govudars~-vern:ry universitet imeni V. 1. U:Iyanova-
Lenina.
(Spaces, Generalized~
0 /~ 0 , , , -
C
a- ''/":)'or:
A 0 R S Potrov A Kay i,, - r ., T- v i4~ a n -1 A! J u I N
T 1 TLE - C I ass -. f i r, a 1'jr, T, P 9 rav,- ~-,i na I f I - I I s f a
neral form accord ,ng, ~he Pr(~ ~Pq 7,- , ~ns
T
Pn: ODICAL Izves*,.ya vysonlkh j:1iebr-.Y,,t; - Ma ,.,r, K~,,
n-) . 4 . ' ~ 60, ' c ~j ' ~ -4
TEXT- This paper i3 a -,)ntir, q'- on -A -ar- 1,4~-r s v
authcrs published in Inis --,,irnal jrd,,-r ~nr- sa7- f
I. 'Izv. vuzov, Mat"m no. 6 11
tem. i nc. , (~60~ ~nd -,t9 a s ~ne -lasg,,: a f hs--
real gravitat . ,~ ii f,, -Ids r-) f a g - n ~, r a -:r, alm,, t t i ng. r a ri f- I
! ive Find ncn-~ i t:va gr f ,,,) * ' ~ A i i A c, 3 ff!'t,1 r, -3 fl
thp same as in r-arl-v-r ,aperq. Thel,.Y-Bt r,, b~ 3
gravitational fields admi ri,)n-* f T,.-
'14 on V3 - Each groip of ,r, V4 ~idml 9 A 3,~V-
Card 1/8 11-~
2(-; 2 'y "I
S 40/60/000/~-~04 '0 C.
Classification of tne D2 2 D-~Or
~-r AAp G a o t f"I t. v P Y,-w,,., t
r ~9! ranstvaLkh qff,.rnov Or. -a
~-i r, nn e - o D(~, "I r 9k 1-1 ss rickni v MI(3'j, r. .3 1
Y V 4 w ! 11 h r. un t r ans i 1' 1 vp 4 acting --jr, V-5 t, r am rg
and ~ t is e r a p v t h - f D' 1 :,w ne r nm
1) 'I'sng the- 11a&s,.fi-at i r:n -, f nl-.n jtr,i,-t r'"F1 ~4 d9
e n 1 n (Rt, f Or, i t iinA tw; ris f thr, -Por~it~r-i t tit,
Froup G-~ as given in He f 0 t r. -~ t'(, ..i r'~ ti r; i t,) r X 4 1
determined f r-,m the eq,iationa f s~ rj-. !ure G4 2 '1 ln~f-,gral. -rg
,ne Killing 9 equations for X, an-i ising the permissit:-
w-i t i an 9 the cancini-al form )f the me ,, i r, 3 '. n I jt~, -3 1 1 ,r, 1 9 f L;nd
A.ny 9.~bgrGup Ga incl,.ldpd in '14 -hn t,e taken. Tn.3 G-z 'an ~L- 'n
V3 V r V T .
13 -3.99JM--i a 11-.riog -,r. 77 -,n*~,:r-; z;,r,
gr,j,,~ -a , ng ranBitiv-~y -)n I'r~:z3 "'t an-, 9- 9 F
20299
Classification Qf the
5/140/60/000/004/019/02-zyy
D221/D306
the structure GO are examined. A semigeodesical system of co-,r~i-
nates is introduced into V~, f ~r .-v~i,,ci-l
and geodesical-parallel !~ypersurfaces of the traq,91tivity ave
the eq~iations x4 = const. The types of group G4 are as follcws:
G41, G41-1, G4111, G4 IV, G4V, G4 VI, G4VI2 , G4VI4 , G4VII' '~4'I'.I~L.
All -these types are exami-ned, and the expre.sions for ther me-
trics ds2 and operators X1. X 2t X 3 and X4 are given. 1,4 1, G4-
and G4111 contain a subgroup G 3 11 as given in Ref. 2 (Cp.ci-..j
with the operatore: X 1 ~ P2t X2 = p3p X3 = - P1 + x 3P2- Fur-~her,
a case is exam-ined when the corresponding subgroup G3 of ~he
group G4 acts not on V3, but on V2. In order to make "he classi-
fication complete it is necessary to take the same subgroup G-,
Card 3/8
2029~
S/14 60/000/004/019/0?3
Class--fication of the D221 YD306
acting on V-), as in the case of G3 acting on V-5. U.,jing, the algo-
-jdlr
rithm it is found that there is no G 4 4111 incl .,g
IT II act'ing on V IV (With" a :!I or, V 'i (w i t h o n
G
3 2 4 3 2 4 2
G IV :'witti G 1 on V and only two possib ilij4 es exist: '
4 3 2) 4
(with G 3VIII on V,) and G 4VIII (with G 3IX on V 2). E'xpressians of
c
the metrics and operators for these two types are g-_'ven. 7he re-
maining case is G 4 or, V3 w~,en the subgroup G 3 acts or, an isotro-
pic variety V 2"t. Now, the four-dimensional groups act on 'L,,e non-
isotropic V,, and, therefore, the clas-ificatior, _Jntrod_~ce~ ear-
lier --s fully applicable to them. Conseq-iently the followir,6 spa-
ces are obtained: G 4 1, G 4Ilk and G4111, whose mathematical ex-
pressions and operators are also given. T!~e authors next d-scuss
the gravitational fields admitting the non-transitive grGUp Of
r1 --A A /D
20299
Cl a 9 s i f i c a t I o r, r--) f D, D,/ 0 t
motions r, on V ~,)ntrast t.,
4
fl:---ar.,,on of s--ich 1; -P--iires a ~n -)f an
4
C 0 " I-natps in V4' The -~f 74
w-,Ih 'Ite grops of mot i-nq .~)n and 'r4Dr, V, wI.9 Jesc-r.t~,i
~Rpf. C iv,-zheriyakn v r-.m~inovyKr, ,r.-sr-in -
Oy G.I. Kruchkovich
stvakt. ~On Mov,.ments in Rieman Spaces) Ma~em. sb. t. 4',(',,'
+
This is the same ,-is in that Jesc-ibed ~re - 1-,
fpr(-ri(.e Iceing tnat h-re spaces with t~~ree-dlr,-.qnsi-.nal grjips -.f HI.
*i,,ns are !-Ased on isotropir V and V-~'(x2, X", The spaces almi~+-
I r- -j n V3a do not admit non-transitive rz, 4- Again ~he
,-a! -xpressions and Dperat--.rs are given for tre spaces V 4 -,n
grcup3 not including G, jbstractcrls note: Str--i-t-ires witr,(-,,i-,
corresponding gravitational fields ar- )m,,tted7. Ns-x- '; 4 incl,.iding
Car-3 1V8
20299
S/1 40/60/000/00A,/01 j/'O.-
Classifical;r)n of t~.e D22'/D306
is -xamined. The mat~,emat'ca. r?xpressiors and --p~-r-,t, rs for
VI, and G VI are given. FlInally, tns7 aitr-,rs Jes,~rlbe tne er~,-
4 2
"ritational fields adml*tin~ sim.Dly transitive groaps of icns ,!7
quotel by L.P. Eyzenkhart Ref. 5: Nepreryvnyye grippy T reobrazo-
van, Y 'C-ntinjoLis Grc,-;ps of Transformat :cne T f
spaT-~- V 4 admits a eimqly gr,,-,-~p G4F then any f- r
--ors 9atisfying tne Pqiat:r,ns strict'ire car. I)r- lak-n.
f u re , it is lramater,,al whptt,,t-r fcartn. -)Derator .s le-=.nej
by g~,ing, frr-,m G, onto V or t'r m G, (-)nto ,I The first A s
1 31 3
js~A -:E-r- F-r the simply trarisitive pr~,-JPS 0 and
4 4
fr-)r, -?~e 1 j rig I s Inat ~ 1,
4 94 = 0'
)r..:4 and :n 77 as 2 'Or~. -r, ,
s i bg ro j p ' R i r. A I -i : ri fr, m eq,iat.,,-~nB 7r~-
Card 6/"~ VK
1: 0/,O/C
I D" D
C lass if: cq' . on (A hP
-Are as given In Ref. 1 '0 p c i tnt- f,,Y~r-h s f:~;An~
-)r_qtant3 -f intpgr~i~.-)n Le made zr-r-, or
by ~.-;tns r-)f permissible transfar-,ia'1,,.-.,ns, Thf- gr,.,p 11,1 LnJ'
'41!
arA containing '7311 are -~xamineJ anl *t.- jr jj~
pre. s uns derived. ~;roup -, IV i-nclAJes the subgr,~,Ap G,_'-
4
mPtr-.--,q and operRtors are also giver. For the group i n'q
the sibgroup G33V, the me~rirs -..re obtained in tne -9a:7- way. '~r, le-
~Prmln,.ng G including tne examnatlDn 43 simpler sin-_e tne
4
first three operators cir, ~P taken it. all po8sblp cas,~-s- X,
X, p5lx_~~ -1)1; f,1 X: - (Y. pC16, an'l t.,J1ref.-,re4
~4
1 4) The matheria'.: :!I -xprow,3- nn and ,j),,ritt,;rLj f',),, thl,
f,~]IoNing spaces are ~,iven .. re: G I i Gy V T T ii F~ral
4 4 2' 4
:y tne examinat. - -f the ins,.vable G 4ViI, Vill w.-.,,.h
Card '/H
f D" D70C
1 IX A
G ';Il and G 4VIII, The--r express.-.ns ar~
tion )f the gravitatior.%: fi,~-Ids c-f *~i,- wF-rr-ral A -
TLe following paper w I'L irlv-st:grit.- '.h- g7rav,.~at. ~na. f
mitting the groups uf motions Gr witr r --4, Ttler,:- ~irf~ 5
b : c,(- re f e ren : e s ,
AS.-JOCIATION! Kazanskii a,,~sudar8venny niv-rsi~pt :rL. yar,
vFt-I,F,n.,n:t 'Faz~Ln ;m 7.1, VaL
L-anlr
M: T'.- ED 1Decemt-r
A/
j ., -
MIOV, A.Z.: KAYGORODOV, V.R.; ABDULLIN, Y.N.
-------- 0-091-
Classification of general-t7pe gravitation fields with respect to
action groups. Part 3. Izv. v7s. ucheb. zav.; aat. ro.4:15a-:,6q
16o. (MIRA 13: 10)
1. Kazanski7 gosadarstyannyy universitet im. V.I. U117anova-Lenina.
(Gravitation)
I a
HTHOV, A.Z.
No ti, on b 1I Is theorf, m. ':c . zsi; . ~ ft Z . 'r, . I , n, . . t : , --. ~
11 w - .
',-,3. - .,J, . . . -
~I,TROV, AlckLiandr; Offilo"TOV, ITIL'
of *1hp of rose's. Zna:-,. 911a '19 qf-.'4:22-2~ Q 1 0, -- .
I I
, ml
T Rk 1. ~) ; i I
k
--=QIT, Boriis
InproVing tkw 3rganizk,~Aor. of I-ni- "-ca-I standardizatiOL Of
labor in the rminiag indistr'~ee. -.rud teeni 5 no,3.43-51 ti 3 .
PETROV, Boris
Main directives in bettering technical normaiization in mining
industries. Trud teeni 4 no-5:9-17 162,
PETROV, Boris
Organization of the normative and research work in the 'Industries of
the U.S.S.R. Trud tseni 4 no.3:68-72 162.
PETRCV, a.
-, " , f5;?.
,low t,~, ,bta I r, %a ri:-. I' -, ~re I P'. 1 1, . ,
HIrRov, ".
'17aluable Rat I orvi !I z at ions in ..' ricograpky ", P. 11. (RAT'10'-AL I I ~ "'I I- I
Vol- 3, 90- 10/11, Oct /Nov. 1953, Sofiya. lulgaria)
SO: I.,onthly List of i~ast Eurc~,ean Accessions, ~IYAL), :,11", 7)'. 1. ;-., 12.
Dec. 1954, Uncl.
MANIM, !-1. ( To3on eva-Mici
V V
Zr
Mans'va)et B. peur"r
P,FTR (YV , B.
On Ft high sport level. Kryl.rod.6 no.10:12-13 0'55. (FlAA ~:12)
1. Glavnyy aud'yn IV Moako7skikh gorodakikh sorevnovnniy po pRra-
ahyutnomu sportu.
(Moscow--Parpchiitiats--ComDetitiona)
PETROV I B.
From ii"q '-" -itas u~-- :-a, - :--;eos 4 -to --r,: -, -: -, ion. ~iO7. --
Irlo.j2jj5-j6 D 163. Xl.:~.A L7:3/
1. Nachal 'nik otdila naw-rino-takhnichaskay informataid St,&kht!"-
kc)go na!li -~,no-lsslelova%al 'skogo i proycktno-k, nStZ'Llktorqku,,o ,,Kol I-
nogo lmtituta.
r,etrov, b.
B-Spectrograph with Inhomagenous mapnetic field M. KORSU',ZKII, V.
KELIMAN, and B. PETROV. J. Exptl. Theoret. whys. L6-'R 14, 3q4-4(l
1944 , No. 10-11.
The B-Spectrop-raph capable of exact focusing is discussed. With this
B-Spectrograph a complete focusing of an Electron beam in the plane
perpendicular to the mapmetic field can be obtained within the limits
of 400. GALINA Y. LFK.D'.FF
PFTR(V I n I
"Beta-Spectrograph with an InhomogeneouB Magnetic Field"
Zhur. Fiz., 7, No 1, Vol 9, 1945
Phys. Tech. Inst., Aced. of Sciences of the Ukrainian ISSR
PE /-/p 0 A~ d.
PETROV, B.; LOMNOV, N.; BZLOUSOV. A.; FfASSTSKAYA, G.. reduktor; ZHORIJIK. D
'--`r0dAtor, GRIGORITEVA, L., redaktor; WSHNIKOV, K., red&ktor; URTAKI-
NA, M., tekhnicheskiy redaktor.
[Parachutist's training] ftd4gotovka parashiutista. 14oakva, lzd-vo DOU",
1954. 279 p. (MIJU 8: 1 Y
(Parachutists)
Subject USSR/Aeronautice
Card 1/1 Pub - 58 - 10/24
Author - Petrov, B.
Title z On a high sport level
Periodical : Kryl. rod., 10, 12-13, 0 1955
F - 312-1
Abstract : The author, umpire in chief of the IVth Moscow parachute individual
and team competition, reports on the competition. Teams and
individuals taking part were selected in various club competitions.
The author gives results and mentions names.
Institution : Several DOSAAF aeroclubs
Submi tted : No da te
PZTIIOV, )i.
v---W,7,x2kt !'?"
~ ro!a t 'oh7sician. th,71osopher, and scientlst. 91
nc.30- 1105-1109 26 Sppt S2.
(~IOGROHMS,
Avicenna)
TURN#
UM/ miscellaneous
Card IA Pub* 14/40
Authors I Petrov,.Bo
Title I Greater attention shoj1d be paid to radio centers in State-fams
FOri0dical I Radio 10,, pap 19,, Oct 1954
Abstract I In a letter to to the editor a radio technician of a local Sovkhov
(State faru) points out the deficiencies of the four radio-relay
stations operating in the region of this Sovkhos.
rhatitution; .eo,
Submitted: 06000
PVrRDV, H. , takhnik.
Stand for testing and regulating automobile control equipment.
Avt. transp. 14 no-1:26 Ag '56. MRA 9:10)
(Automobiles--Apparatus and supplies)
PETROV, B., Inzh.; SHMLSIIEVSKIY, Ya., inzh.
4uality control of bearing lin.ngs. Rech. tramp. 20 no.li:
20-21 11 161. (XIHA 15;1/
I,'ShipB--4,Iaintenance and repair,
(Ultrasonic testing)
PETROV, B.
Automata and llvipg ,t~r :~,mLj. "a ka i .4e&, mlaiesh 1.~ n . "I
r, - I
11 5 Ja 164.
FETROV, B.
Intiiiicckine gze,a n a bTidge crane. okhr.tnids 1 vots-stra-C'..
"' 1
4 no.12:25 D 161. tcranes, derricks, etc.) . U 14 12 '
i
PETAV, B.D. , prof. (Moskva)
F --
IlRuBsials first women medics" by A.A.Shibkov. Reviewed by B.D.
Petor-v. Fel'd. i akush. 26 no.8:63-~ Ag '61. (M::A 1,4: IC)
(WOKO AS PMIULO~S) (SHIBKOV 0 A.A.)
LF.V,Ye.S., kandidat, tekhnicheakikh nauk; PZTROV.B.A.; BRUK,N.V.
Detection of defects in metals in ship repairing yards. Rech.
transp. 14 no.7:27-29 Jl 155. (KIRA 8:10)
(Metals--Defects) (Magnetic testing)
FZTROV, B.A.; BOLDTSHEVA, N.I.
Pmrification of rotary kiln gaaes by means of electric filters.
TSement 24 no.5:11-17 S-0 '58. (KIRA 11:11)
(Kilns, Rotary) (Zlectric filters) (Gas purification)
f 0 0 0 0 0 0 0 0 0 0 0 0 0 : a 0 0 0 o0 a 0 0 0 0 0 0 0 0
0 0 01000000
01 10 a. i CIA, MI, n,..,
A
00,
.00
AIMU meftle B FOrnumt mind 8 A NtM. kuss
lifar .11, W4 Alkali metats at-filijA by be*% -
X5,181 *0
dia ,
ina alW1 cyanide,%. lefforyanwks o9 fe"icYlaides in -00
a roe
0
00 a *0
00
*0
00
o*
00
00 It
00
u I
TL I A
al 0 9 9 0 0 0 0 We 4 0 0 0 0 0 0
o 0 0 o 0 o *, OILS