Black holes as possible sources of closed and semiclosed worlds

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1、PHYSICALREVIEWDVOLUME41,NUMBER215JANUARY1990BlackholesaspossiblesourcesofclosedandsemiclosedworldsV.P.FrolovInstitutodeAstronomiayFisicadelEspacio,BuenosAires,ArgentinaandP.N.LebedevPhysicalInstitute,Moscow,UnionofSovietSocialistRepublicsM.A.MarkovInstituteforNuclearResearchandP.N.

2、LebedevPhysicalInstitute,Moscow,UnionofSovietSocialistRepublicsV.F.MukhanovInstituteforNuclearResearch,Moscow,UnionofSovietSocialistRepublics(Received9February1989)Theinternalstructureofspacetimeinsideablackholeisinvestigatedontheassumptionthatsomelimitingcurvatureexists.Itisshownt

3、hattheSchwarzschildmetricinsidetheblackholecanbeattachedtothedeSitteroneatsomespacelikejunctionsurfacewhichmayrepresentashorttran-sitionlayer.ThemethodofmassivethinshellsbyIsraelisusedtoobtainthecharacteristicsofthislayer.Itisshownthatinsteadofthesingularitytheclosedworldcanbeforme

4、dinsidetheblackhole.Itisarguedthatthispropertyofourmodelmayalsobevalidinamoregeneralcaseprovidedthegravitationtheoryisasymptoticallyfreeandthelimitingcurvatureexists.Afterpassingthedeflationstagetheclosedworldintheblack-holeinteriormaybegintoinflateandgiverisetoanewmacroscopicunive

5、rse.Thedescribedmodelmaybeconsideredasanexampleofthecreationofa"closedorsemiclosedworld"inthelaboratory.Thepossiblefateoftheevaporatingblackholeisalsobrieflydiscussed.I.INTRODUCTIONconditions.'Inthis-casethetimeintervalslessthanthePlanckianonetp,lp,/c—10s,thecorrespondingOneofthefu

6、ndamentalproblemsinclassicalgenerallengthsandextremelyhighcurvatures(higherthantherelativityistheproblemofsingularitieswhichinevitablyPlanckiancurvature—1/lf„)havenophysicalmeaning.ariseinthetheoreticaldescriptionofamassivebody(orInordertobeabletousethehabitualnotionsofspacetotalUn

7、iverse)collapse(see,e.g.,Refs.1and2).Itisandtimeonemustoperatewiththeeffectivemetricgenerallybelievedthattheappearanceofthesesingulari-whicharisesasaresultofaveragingoverscaleslargertiesisusuallyaccompaniedbyanunlimitedincreaseofthanIp&.Itisnaturaltoexpectthatthecurvatureforthisspa

8、cetimecurvature.Thesingula