on inpatibility of gravitational radiation with the 1915

on inpatibility of gravitational radiation with the 1915

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时间:2018-10-30

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1、ONINPATIBILITYOFGRAVITATIONALRADIATIONWITHTHE1915ONINPATIBILITYOFGRAVITATIONALRADIATIONoreover,nopossible(seeSection2).Thereareso-called"ents(suchastheprincipleofcausality2),theequivalenceprinciple,andsoon)arenotsatisfied.Infact,someofthemhavebeenprovento

2、beindisagreementents[9,10].Theirinvalidacceptanceisduetotheincorrectbelief3)thattheequivalenceprincipleanifold[11].Moreover,Einstein'snotioncannotbeexact,sinceitisnotlocalizable[12].Inafieldtheory,acentralproblemistheexchangeofenergybetustbeatensor(seeals

3、oSection4).内容来自.nseac.2.TheGravitationaloreover,forthedynamicofmassivematter,experiment[16]supportsthefactthatMaxation(3)isrelatedtoadynamicsolutionofulanotvalid,butthetheoreticalframeined(seeSection3).Inotherentseliminateotherunverifiedspeculationsthough

4、ttobepossiblesince1957.Asshotheassumptionofboundedness(Section3),ation,pliesthatatime-averageoftheradiativepartofG(2)((isnon-zero(7(.ThepresentmethodhasanadvantageoverFock'sapproachtoobtaininglogarithmicdivergence[13,14(forbeingsimpleandclear.Inshort,acco

5、rdingtoEinstein'sradiationformula,atimeaverageofG(2)(tisnon-zeroandofO(K2/r2)[13(.Although(3)impliesG(1)(tisoforderK2,itstermsofO(1/r2)canhaveazerotimeaveragebecauseG(1)(tislinearonthemetricelements.Thus,(1')cannotbesatisfied.Nevertheless,astaticmetriccan

6、satisfy(1),sincebothG(1)((andG(2)((areofO(K2/r4)invacuum.Thus,thatagravitationalomentumdoesnotfollothefactthatG(2)((canbeidentifiedetricpart.NotethatG(t=-KT(m)(tareconstraintsontheinitialdata.(fentent,assumingtheexistenceofdynamicsolutionsofeansthatthecal

7、culations[25,26(onthebinarypulsarexperimentsshould,inprinciple,bere-addressed[12(.ThisexplainsalsothatanattemptbyChristodoulouandKlainerman[26(toconstructbounded"dynamic"solutionsforG((=0failstorelatetoadynamicsourceandtobepatibleplythatagravitationalomen

8、tum.Foraproblemsuchasscattering,althoughthemotionoftheparticlesisnotperiodic,theproblemremains.Thissofthe1995updateoftheEinsteinequation,duetothenecessaryexistenceofgravitationalenergy-momentumtensortermentsfor(3)ar

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