A black hole with torsion in 5D Lovelock gravity

TL;DR

This paper explores static black hole solutions in five-dimensional Lovelock gravity, revealing a new torsion-inclusive black hole solution with unique thermodynamic properties, expanding understanding of higher-dimensional gravity theories.

Contribution

It introduces a novel static black hole solution with torsion in 5D Lovelock gravity for specific Lagrangian parameters, beyond the standard torsion-free case.

Findings

Existence of a static black hole with torsion in 5D Lovelock gravity.

The torsion black hole is asymptotically AdS.

Calculated conserved charges and thermodynamics of the torsion black hole.

Abstract

We analyzed static spherically symmetric solutions of the five dimensional (5D) Lovelock gravity in the first order formulation. In the Riemannian sector, when torsion vanishes, Boulware-Deser black hole represents a unique static spherically symmetric black hole solution for the generic choice of the Lagrangian parameters. We showed that the special choice of the Lagrangian parameters, different from the Lovelock Chern-Simons gravity, leads to the existence of the static black hole solution with torsion, which metric is asymptotically AdS. We calculate conserved charges and thermodynamical quantities of the black hole solution.