Three-Dimensional Hairy Black Holes in Teleparallel Gravity

TL;DR

This paper presents new three-dimensional black hole solutions in teleparallel gravity coupled with a scalar field, demonstrating how torsion-based gravity can produce asymptotically AdS hairy black holes with specific scalar field behaviors.

Contribution

It introduces novel asymptotically AdS hairy black hole solutions in a teleparallel gravity framework with a non-minimally coupled scalar field, extending previous models.

Findings

Black hole solutions with scalar hair in teleparallel gravity

Scalar field exhibits power-law behavior outside the horizon

Potential approaches an effective cosmological constant at infinity

Abstract

We consider three-dimensional gravity based on torsion. Specifically, we consider an extension of the so-called Teleparallel Equivalent of General Relativity in the presence of a scalar field with a self-interacting potential, where the scalar field is non-minimally coupled with the torsion scalar. Then, we find asymptotically AdS hairy black hole solutions, which are characterized by a scalar field with a power-law behavior, being regular outside the event horizon and null at spatial infinity and by a self-interacting potential, which tends to an effective cosmological constant at spatial infinity.