Eur. Phys. J. Plus (2016) 131: 436
https://doi.org/10.1140/epjp/i2016-16436-4

Regular Article

Exponential and logarithmic f(T) wormhole solutions in Lorentzian noncommutative background

¹ Department of Mathematics, COMSATS Institute of Information Technology, 54000, Lahore, Pakistan
² Govt. Elementary School Muft Pura Chungi Ammar Sidhu Cantt., Lahore, Pakistan

^* e-mail: abduljawad@ciitlahore.edu.pk

Received: 9 September 2016
Accepted: 15 November 2016
Published online: 22 December 2016

Abstract

In this paper, we take noncommutative geometry under Lorentzian distribution and explore static spherically symmetric wormhole solutions in the extended teleparallel gravity by taking exponential and logarithmic f (T) models. For matter components, we use effective energy-momentum tensor for a nondiagonal tetrad and develop field equations. We work to explore solutions by considering various viable f(T) models and conclude that there exists a possibility of physically acceptable wormhole solutions under noncommutative background for these models. We observe that the effective energy-momentum tensor is responsible for the violation of the energy conditions. Also, we check the stability for these solutions by equilibrium condition. The equilibrium condition does not meet properly for any obtained solutions. Therefore solutions are in less equilibrium situation.