0905.3337v3[1] einstein-maxwell-dilaton theories with a liouville potential(christos charmousis, blaise goutéraux, jiro soda)

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1、arXiv:gr-qc/0905.3337v3Einstein-Maxwell-DilatontheorieswithaLiouvillepotentialChristosCharmousis1,2),BlaiseGoutéraux1)andJiroSoda3)1)LPTOrsay,Univ.Paris-Sud,CNRS:UMR8627,Bât.210,91405Orsay,CEDEX,France2)LaboratoiredeMathématiquesetPhysiqueThéorique(LMPT)CNRS:UMR6083UniversitéFrançoisRabelais-Toursan

2、d3)YukawaInstituteforTheoreticalPhysics,DepartmentofPhysics,KyotoUniversity,Kyoto,606-8501,JapanWefindandanalysesolutionsofEinstein’sequationsinarbitrarydimensionsandinthepresenceofascalarfieldwithaLiouvillepotentialcoupledtoaMaxwellfield.Weconsiderspacetimesofcylindricalsymmetryoragainsubspacesofdimen

3、siond−2withconstantcurvatureandanalyseindetailthefieldequationsandmanifesttheirsymmetries.ThefieldequationsofthefullsystemareshowntoreducetoasingleorcoupleofODE’swhichcanbeusedtosolveanalyticallyornumericallythetheoryforthesymmetryathand.Furthersolutionscanalsobegeneratedbyasolutiongeneratingtechnique

4、akintotheEMdualityintheabsenceofacosmologicalconstant.Wethenfindandanalyseexplicitsolutionsincludingblackholesandgravitatingsolitonsforthecaseoffourdimensionalrelativityandthehigher-dimensionaloxydised5-dimensionalspacetime.Thegeneralsolutionisobtainedforacertainrelationbetweencouplingsinthecaseofcyl

5、indricalsymmetry.PACSnumbers:04.20.JbarXiv:0905.3337v3[gr-qc]28Jun20102I.INTRODUCTIONBlackholesolutionscapturetheessenceofgeneralrelativityinthattheyarerelativelysimplebutnottrivial,vacuumsolutionsofEinstein’sfieldequationswithmultipleapplicationsindifferentdomainsofgravitationalphysics.Blackholesappe

6、ared,atleastasmathematicalsolutionsofEinsteinequations,veryearlyoninthedevelopmentofthetheory[1].Initiallyhowever,itwashopedbyEinsteinanddisciplesthatclassical,gravitating,andeverywhereregularparticlesolutions,inotherwordssolitons,couldbefoundinthecontextofgeneralrelativitytheory.Foralongtimetherewa

7、sageneralconsensusthatblackholeswerejustabizarreandsingularmathematicalartefactofgeneralrelativityandnotphysicalsolutions.InawaytheywereseenasacontradictiontotheMachianprinciplewhichinspiredEinsteinin