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

摘要

We derive a null tetrad from axially-symmetric vierbein field. The f(T)-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 f(T) = T-0 and f(T) = df(T)/dT = 1, where T-0 is a constant. The scalar torsion related to this solution is constant, i.e., T = T-0, and differs from the classical general relativity when f(T) not equal T-0. 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.