A Modified Thermodynamics Method to Generate Exact Solutions of Einstein Equations.pdf

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1、Commun.Theor.Phys.67(2017)41–46Vol.67,No.1,January1,2017AModiedThermodynamicsMethodtoGenerateExactSolutionsofEinsteinEquationsHong-WeiTan(谭鸿威),Jin-BoYang(杨锦波),Tang-MeiHe(何唐梅),andJing-YiZhang(张靖仪)†CenterforAstrophysics,GuangzhouUniversity,Guangzhou510006,China(ReceivedSeptember18,2016;revisedmanus

2、criptreceivedNovember9,2016)AbstractWemodifythemethodtogeneratetheexactsolutionsoftheEinsteinequationsbasingonthelawsofthermodynamics.Firstly,theKomarmassisusedtotaketheplaceoftheMisner-Sharpenergy,whichisusedintheoriginalmethods,andthenseveralexactsolutionsofEinsteinequationsareobtained,includingt

3、heblackholesolutionwhichissurroundedbyquintessence.Moreover,thegeometrysurfacegravitydenedbyKomarmassisalsoconstructed.Secondly,weuseboththeKomarmassandtheADMmasstomodifysuchmethod,andthesimilarresultsareobtained.Moreover,withsomegeneralizeadditiontothedenitionoftheADMmass,ourmethodcanbegeneraliz

4、edtoglobalmonopolespacetime.PACSnumbers:04.20.-q,04.70.-sDOI:10.1088/0253-6102/67/1/41Keywords:exactsolutions,modifiedthermodynamicalmethod,Komarmass,ADMmass1IntroductionBasingonsuchassumptions,theEinsteinequationswereSinceBekensteinfoundtherelationshipbetweenblackderived.However,inthatwork,theresea

5、rchersassumedholedynamicsandthermodynamics,[1]andHawkingpre-thatthespacetimeisinalocallythermalequilibriumsys-sentedHawkingradiationaccordingtothequantumfieldtem,butastheequationsthatdescribetheevolutionoftheoryincurvedspacetime,[2]whichisapurethermo-allkindsofspacetime,Einsteinequationsareexpectedd

6、ynamicalradiation,theresearchershavefocusedonthetobeabletodescribeallkindsofspacetime’sevolutiondeeprelationshipbetweenthetheoryofthegravitationinprinciplenaturally,includingthespacetimethatdoesandthermodynamicsforalongtime.notsatisfythelocallythermalequilibriumassumption.InInfact,blackholethermody

7、namicscanbeviewedasotherwords,theresearchersobtainedtheequationsthatspacetimethermodynamics,whichmeansthattheproper-candescribegeneralsituationsonlybasedonaspecialassumption,whichisunnaturalinlogic.[3]tieso