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
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016