Abstract:
In thisthesis,weexplorestaticsphericallysymmetricchargedwormhole
solutions inextendedteleparallelgravitytakingvariousviable f(T) mod-
els. WeconsidernoncommutativegeometryunderLorentziandistribution
and apointchargewhichissphericallydistributedtodevelopelectrostatic
field. Wedevelopfieldequationsbyusingeffectiveenergy-momentumten-
sor fornon-diagonaltetrad.Forpower-law f(T) modelswhichalsoincludes
teleparallel gravitycase,theviolationofenergyconditionsobtainbyexotic
matter througheffectiveenergy-momentumtensortoformwormholesolu-
tions inteleparallelcasewhilephysicalacceptablewormholesolutionsex-
ist forchargednoncommutativewormholesolutionsforsomecasesin f(T)
case. Also,weensurethestability/equilibriumforthesesolutionsbyconsid-
ering thegeneralizedTolman-Oppenheimer-Volkovequationforanisotropic
mass distribution.Theequilibriumconditionmeetsfortheteleparallelcase
and somepower-lawsolutionswhileremainingsolutionsareeitherinless
equilibrium orindisequilibriumsituation.
Further,weworkinsamescenariotoexploresolutionsbyconsidering
exponential,logarithmicandcombined(involvingexponentialandlogarith-
mic terms) f(T) modelsandconcludethatphysicalacceptablewormhole
solutions exist.Wealso,checkthestabilityforthesesolutionsbyequi-
librium condition.Theequilibriumconditionobtainedforthesesolutions
expresses lessequilibriumsituation.Oncomparison,wefindoutthatas
compared topower-law f(T) models,morestablewormholesolutionsare
obtain forexponential,logarithmicandcombinedcasesatisfyingenergy
condition.
