Sinpson, Penrose Internal Instability in a RN Black Hole

Sinpson, Penrose Internal Instability in a RN Black Hole

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时间:2019-08-12

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1、lmernallnstabilltyinaReissner-Nordstr~mBlackHole 9-,*r,~ag~L-'~.P~NR~S~DepartmentofMa,theg~'c$,.~kr~c~"College,Lond,'m~,~c,grd:1April19"~AbstractThequ~'of~heeffecl~:.1":asyrrmr~e_~2~~~.~..Ee~~.a~e~~m,'~esdga~edbyconsiderationsor~~stel~--~coraagneficfie!ds~nanex*eadedP.e~s~-Nords~mback~ground.I

2、t~found,withthe.aidofe~mputcr~alcd!al~n,so~hatinstabilitiesin"~hetestfieldariseattheinner(Cauchyoranti-even0horizon,the~hnot~t~he~hter(e~a0horizon.Thusitisreason~tbletoinferthatiuthefullcoupledEinsteire-Maxwe$3theo~theinnerhorizonwillnotsurviveasanon-singularhycersurfacewhenas:,mmetrk.perturba

3、tionsarepresent,butwillinsteadbecomeaspace-timecurvaturesingularity.Thegravhatio~zalcollap~ofastarwb;cb,:stoomassivetoformawhitedwarfornet~tronstarprese~anowfarai~Lmpic~u~!fsphericaIsymmetryisassumed,thencollapsethroughablackhole~oa~space-rimesingularityatwhichcmwaturesmounttoinfiniE:isimplied

4、b:~gem-ralrelativity(Penrose,1969a).Itisalsoknox~fromgeneraltheoremsiHawkAng&Penrose,1970)thatevenwhenspherica~symmetryisnotasst~r~ed,a~ace-timesingulari~'mustneve~he!essszillarisewhenevertrappedsurfacesoccur.However,thenatureandloca~{ouofthesesing~alaritiesisleftcompletelyopenbythetheorems.Ac

5、cordingtoa~ustatedconjecture(Carter,1971;Israel,1967,t968;HawNng,!972),theextem:~a!.fieldoftheblackholewhichresuhsfromagravitationalcollapseshouldapproachthatofaKerr-Newman(Kerr,1963;Boyer&Lindqu,~st,19'37;Newmanetel.,1965)solutionof*.heEinstein-Maxwellequations,charac-terizedbyjustthreep~iram

6、eters:massm,chargee,andangularmomentuma.Thereishowevernoreasontobelievethattheinternalfieldnearthe(ring)singularityofthesesolutionsshouldbeanaccuraterepresentationofthephysicalspace-timeresultingfromarealisticcollapse.Indeed,thepresenceofclosedtimelikecurvesneartb.esingularities(Carter,1968)wo

7、uldseemtoargueagainstanytoocloserelationbetweenthemodelsandphysicalreativ.TheKerr-Newmansolutionswithm>a/(a2+e2)>0possesstheCol~yri.ght91.973~lenumPublishing.C~mqanyLimited.NopartoFthispublicationmaybereproduced,storedmaretrievalsystem

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