A Solution to Symmetric Teleparallel Gravity

Teleparallel gravity models, in which the curvature and the nonmetricity of spacetime are both set zero, are widely studied in the literature. We work a different teleparallel theory, in which the curvature and the torsion of spacetime are both constrained

ASolutiontoSymmetricTeleparallelGravity

Muza erADAK

DepartmentofPhysics,FacultyofArtsandSciences,

PamukkaleUniversity,

arXiv:gr-qc/0412007v1 2 Dec 200420100Denizli,Turkeymadak@pamukkale.edu.tr¨OzcanSERTDepartmentofPhysics,FacultyofArtsandSciences,PamukkaleUniversity,20100Denizli,Turkeyosert@pamukkale.edu.trFebruary7,2008AbstractTeleparallelgravitymodels,inwhichthecurvatureandthenonmetricityofspacetimearebothsetzero,arewidelystudiedintheliterature.Weworkadi erentteleparallelthe-ory,inwhichthecurvatureandthetorsionofspacetimearebothconstrainedtozero,butthenonmetricityisnonzero.Afterreformulatingthegeneralrelativityinthisspacetimewe ndasolutionandinvestigateitssingularitystructure.

1Introduction

Einstein’sgeneralrelativityprovidesanelegant(pseudo-)Riemannianformulationofgravitationintheabsenceofmatter.Inthevariationalapproach,Einstein’s eldequationsareobtainedbyconsideringvariationsoftheEinstein-HilbertactionwithrespecttothemetricanditsassociatedLevi-Civitaconnectionofthespacetime.Thatis,theabsenceofmattermeansthattheconnectionismetriccompatibleandtorsionfree,asituationwhichisnaturalbutnotalwaysconvenient.AnumberofdevelopmentsinphysicsinrecentyearssuggestthepossibilitythatthetreatmentofspacetimemightinvolvemorethanaRiemannianstructureTheoriesofgravitybasedonthegeometryofdistantparallelismarecommonlycon-sideredastheclosestalternativetothegeneralrelativity(GR)theory.Teleparallelgravitymodelspossessanumberofattractivefeaturesbothfromthegeometricalandphysicalview-points.TeleparallelismnaturallyariseswithintheframeworkofthegaugetheoryofthegroupofgeneralcoordinatetransformationswhichunderliesGR.Accordingly,theenergy-momentumcurrentrepresentsthemattersourceinthe eldequationsoftheteleparallelgravity.

Sincegaugetheoriesseemimportantforthedescriptionoffundamentalinteractionsitap-pearsnaturaltoexploitanygaugestructurepresentintheoriesofgravity.Di erentauthors,

百度搜索“77cn”或“免费范文网”即可找到本站免费阅读全部范文。收藏本站方便下次阅读，免费范文网，提供经典小说教育文库A Solution to Symmetric Teleparallel Gravity在线全文阅读。