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

Abstract

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 \( f_{T}=\frac{d f(T)}{d T}=1\), 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 \( f(T)\neq T_{0}\). 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.