Black-bounce in f(T) gravity

Abstract

We study new solutions of black-bounce spacetimes formulated in f(T) gravity in four dimensions. First, we present the case of diagonal tetrad where a restriction appears in the equations of motion that is divided into the cases of zero torsion, constant torsion and teleparallel. The Null Energy Condition (NEC) is still always violated, which implies that the other energy conditions are also violated. The solutions are regular throughout spacetime and the zero torsion solution presents discontinuity between the energy conditions inside and outside the event horizon. Second, we present the case of non-diagonal tetrads. This case is divided into a Simpson-Visser type model and a quadratic model in T. The NEC continues to be violated, implying the violation of the other energy conditions. The solutions are regular in all spacetimes. An interesting result is that due to the possibility that the area associated with the metric is different from \(4\pi r^2\), the no-go output theorem established in the usual f(T) is violated, resulting in the new possibility \( g_{00}=-g^{11}\), for metric components.