PhysisEssays,vl.13,n.4,2000

Abstrat

Itisshnthatthe1915Einsteinequatinisinpatibleiththephysialntinthataavearriesaayenergy-entu.Thisprfispatibleiththataxell-NetnApprxiatin(thelinearfieldequatinfreakgravity),andissupprtedbythebinarypulsarexperients.Frdynaiprbles,thelinearfieldequatinisindependentf,andfurtherreinpatibleiththeEinsteinequatin.Thelinearequatin,asafirst-rderapprxiatin,requirestheexisteneftheeakgravitatinalavesuhthatitustbebundedinaplitudeandberelatedtthe ;dynaisfthesurefradiatin.Duetnegletingtheseruialphysialassiatins,inadditintinadequateunderstandingftheequivalenepriniple,unphysialslutinsereistakenasgravitatinalaves.Itisnludedtheretiallythat,asEinsteinandRsensuggested,aphysialgravitatinalaveslutinfrthe1915equatindesntexist.Thisnlusinisgivenfurthersupprtsbyanalyzingtheissuefplane-avesversusexat"ave"slutins.rever,theapprahesfDaurandTaylrfrtheradiatinfbinarypulsarsuldbevalidnlyifthey areasanapprxiatinftheequatinf1995update.Inadditin,theupdateequatinshsthatthesingularitytheresprvenlythebreakingdnfheeler-Hakingtheries,butntgeneralrelativity.ItispintedutthatseLrentzanifldsareangthsethatatuallydisagreeithknnexperientalfats.

Keyrds:patibility,dynaislutin,gravitatinalradiatin,priniplefausality,plane-ave,heeler-Hakingtheries

1.Intrdutin
Inphysis,theexistenefaaveisduetthefat,asrequiredbyspeialrelativity,thataphysialauseustprpagateithafinitespeed[1].Thisipliesalsthataavearriesenergy-entu.Thus,thefieldequatinfrgravityustbeabletadatethegravitatinalave,hiharriesaaygravitatinalenergy-entu.Inthispaper,itillbeshnthattheEinsteinequatinf1915failsthis.
Ingeneralrelativity,theEinsteinequatinf1915[2]frgravityfspae-tieetrig((is

G(((R((-g((R=-KT()((,(1)

hereG((istheEinsteintensr,R((istheRiiurvaturetensr,T()((istheenergy-stresstensrfrassiveatter,andK(=8((-2,and(istheNetnianuplingnstant)istheuplingnstant1).Thus,

G(((R((-g((R=0,rR((=0,(1')

atvauu.Hever,(1')alsipliesngravitatinalavetarryaayenergy-entu.
AninpatibilityithradiatinasfirstdisveredbyEinstein≈Rsen[3,4]in1936.Hever,duetneptualandatheatialerrrsthen,theirdisveryasntaepted.Theseerrrsfrthebasisfthes-alledgeetriviepintftheheeler-Hakingshl[5,6](seealsSetin4).Anbviusprbleftheirviepintisthatneanntdistinguishaphysialslutinangatheatialslutins[7].
neptually,neuldargueinrretlythat(1')arriesenergy-entubeause

G(((G(1)((+G(2)(((2a)

hereG(1)((nsistsfthelinearters(fthedeviatin(((=g((-(((frtheflatetri((()inG((,andG(2)((nsistsfthethers.SineG(2)((hasbeenidentifiedasequivalenttthegravitatinalenergy-stressfEinstein'sntin[8],itseeedbviusthatG(2)((arriestheenergy-entu.Hever,unless(1)anadateaphysialgravitatinalave,suhanarguenthasneaning.rever,naveslutinhaseverbeenbtainedfrequatin(1).Infat,thisisipssible(seeSetin2).
Thereares-alled"aveslutins"fr(1'),buttheyareatuallyinvalidinphysis(see§§3≈5)sinephysialrequireents(suhasthepriniplefausality2),theequivalenepriniple,andsn)arentsatisfied.Infat,sefthehavebeenprventbeindisagreeentithexperients[9,10].Theirinvalidaeptaneisduettheinrretbelief3)thattheequivaleneprinipleeresatisfiedbyanyLrentzanifld[11].

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