Exact Einstein–scalar field solutions for formation of blackholes in a cosmological setting黑色形成地精确爱因斯坦标量场解 宇宙论中地空穴.pdf

《Exact Einstein–scalar field solutions for formation of blackholes in a cosmological setting黑色形成地精确爱因斯坦标量场解 宇宙论中地空穴.pdf》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、ExactEinstein–scalarfieldsolutionsforformationofblackholesinacosmologicalsettingOlegA.FonarevRacahInstituteofPhysics,TheHebrewUniversityJerusalem91904,IsraelAbstractWeconsiderself–interactingscalarfieldscoupledtogravity.TwoclassesofexactsolutionstoEinstei

2、n’sequationsareobtained:thefirstclasscorrespondstotheminimalcoupling,thesecondonetotheconformalcoupling.Oneofthesolutionsisshowntodescribeaformationofablackholeinacosmologicalsetting.Somepropertiesofthissolutionaredescribed.Therearetwokindsofeventhorizon

3、s:ablackholehorizonandcosmologicalhorizons.Thecosmologicalhorizonsarenotsmooth.ThereisamildarXiv:gr-qc/9409020v311Sep1994curvaturesingularity,whichaffectsextendedbodiesbutallowsgeodesicstobeextended.Itisalsoshownthatthereisacriticalvalueforaparameteronwh

4、ichthesolutiondepends.Abovethecriticalpoint,theblackholesingularityishiddenwithinaglobalblackholeeventhorizon.Belowthecriticalpoint,thesingularityappearstobenaked.Therelevancetocosmiccensorshipisdiscussed.PACSnumbers:04.20.Cv,04.20.Jb,97.60.LfIIntroduct

5、ionTworemarkablepredictionsofGeneralRelativity,theexpandinguniverseandblackholes,havealwaysbeenofmaininterestinthetheoryofgravitation.Infact,theexpansionoftheuniverseandthegravitationalcollapseofmatterareverysimilarphenomenafromthemathematicalpointofvie

6、w[1].Bothofthemyieldtheexistenceofregionsinthespace–timewherematterhastransplanckianenergies.ItisclearthatclassicalGeneralRelativitycannotbeextrapolatedthere.Whattheorydescribestheearlystageoftheevolutionofouruniverseandthefinalstageofthegravitationalcol

7、lapse?WillthenotionsofspaceandtimesurviveinafuturetheoryofQuantumGravityatall?Ormorespecifically:whatisleftafterablackholehasevaporatedandwhatwasbeforetheBigBang?Thesequestionsareamongthemostfundamentalissuesincontemporarytheoreticalphysics.Yet,therearem

8、anyunresolvedproblemsintheclassicalGeneralRelativity.Oneofsuchproblemsisthedearthofexactsolutionsdescribingcollapsingmatterandformationofblackholes.Whilemanycosmologicalmodelsareavailableinthemarket,veryfewdynamicalsolutionsarekn