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Charged Noncommutative Wormhole Solutions via Power-Law f(T) Models
Authors:Shamaila Rani  Abdul Jawad  M Bilal Amin
Institution:Department of Mathematics, COMSATS Institute of Information Technology, Lahore-54000, Pakistan
Abstract:In this paper, we explore static spherically symmetric charged wormhole solutions in extended teleparallel gravity taking power-law f(T) models. We consider noncommutative geometry under Lorentzian distribution. In order to obtain matter components, we develop field equations using effective energy-momentum tensor for non-diagonal tetrad. We explore solutions by considering various viable power-law f(T) models, which also include teleparallel gravity case. The violation of energy conditions obtain by exotic matter to form wormhole solutions in teleparallel case while, physical acceptable wormhole solutions exist for charged noncommutative wormhole solutions for some cases of power-law models. The effective energy-momentum tensor and charge are responsible for the violation of the energy conditions. Also, we check the equilibrium condition for these solutions. The equilibrium condition meets for the teleparallel case and some power-law solutions while remaining solutions are either in less equilibrium or in disequilibrium situation.
Keywords:f(T) gravity  wormhole  Lorentzian distribution  noncommutative geometry  
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