SCIENTIFIC ABSTRACT PETROV, A.V. - PETROV, B.A.

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SCIENTIFIC ABSTRACT
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- ... I . - . q., I.- .- j . - .1 .. 1 11 . . .., . . - -r :cr 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