Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories

TL;DR

This paper explores spherically symmetric solutions in scalar-torsion gravity, deriving exact and asymptotic solutions including a novel wormhole-like configuration with a regular scalar field and asymptotically AdS spaces.

Contribution

It introduces a new exact wormhole-like solution in scalar-torsion gravity and analyzes large-distance asymptotic behaviors with linearized solutions.

Findings

Discovered a new wormhole-like solution with a regular scalar field.

Derived asymptotically AdS solutions at large distances.

Formulated a decoupled master equation for scalar-torsion systems.

Abstract

We studied spherically symmetric solutions in scalar-torsion gravity theories in which a scalar field is coupled to torsion with a derivative coupling. We obtained the general field equations from which we extracted a decoupled master equation, the solution of which leads to the specification of all other unknown functions. We first obtained an exact solution which represents a new wormhole-like solution dressed with a regular scalar field. Then, we found large distance linearized spherically symmetric solutions in which the space asymptotically is AdS.