Eur. Phys. J. Plus (2016) 131: 51
https://doi.org/10.1140/epjp/i2016-16051-5

Regular Article

Kerr-Newman-dS/AdS solution and anti-evaporation in higher-order torsion scalar gravity theories

Centre for Theoretical Physics, The British University in Egypt, P.O. Box 43, 11837, Sherouk City, Egypt

^* e-mail: nashed@bue.edu.eg

Received: 9 December 2015
Accepted: 8 January 2016
Published online: 1 March 2016

Abstract

We derive a null tetrad from axially-symmetric vierbein field. The -Maxwell field equations with cosmological constant, where T is the scalar torsion, are applied to the null tetrad. An exact non-vacuum solution having three constants of integration is derived which is a solution to the f (T) -Maxwell field equations provided that and , where is a constant. The scalar torsion related to this solution is constant, i.e., , and differs from the classical general relativity when . We study the singularities of this solution using curvature and torsion invariants. We consider a slow rotation and show that the derived solution behaves asymptotically as de Sitter spacetime and display the existence of Nariai spacetime as a background solution. We assume a perturbation of Nariai spacetime till the first order and investigate the behavior of the black hole horizon. Finally, we explain that the anti-evaporation occurs on the classical level in the f (T) gravitational theories.