Charged noncommutative wormhole solutions in f(T) gravity

Abstract

In this paper, we study charged wormhole solutions in f(T) gravity with non-commutative background. We develop field equations using effective energy-momentum tensor for diagonal as well as non-diagonal tetrad in order to compare with general relativity. A point charge is considered with spherical distribution which develops electrostatic field. The matter content of wormhole geometry for diagonal tetrad leads to teleparallel gravity while for non-diagonal tetrad, we explore solutions by assuming a viable power-law f(T) model. We conclude that only exotic matter forms wormhole solution by violating energy conditions in the teleparallel case but physically acceptable solution is obtained for charged noncommutative wormhole solutions in f(T) gravity.