5D Lovelock gravity: new exact solutions with torsion

TL;DR

This paper presents new exact solutions in five-dimensional Lovelock gravity, including BTZ black rings with torsion, and analyzes their properties and conserved charges.

Contribution

It introduces a novel class of solutions with torsion in 5D Lovelock gravity, expanding understanding of solution sectors beyond previous studies.

Findings

Existence of BTZ black ring solutions with torsion

Conserved charges computed via Nester's and canonical methods

Additional degrees of freedom in linearized theory with torsion

Abstract

We investigate Lovelock gravity in five dimensions in first order formalism. We construct a new class of solutions: BTZ black ring with(out) torsion. We show that our solution with torsion exists in the different sector of the Lovelock gravity compared to Lovelock Chern-Simons and the sector investigated by Canfora et al. We compute conserved charges of the solutions by using Nester's formula, and confirm the results by canonical method. We show that the theory linearized around the background with torsion possesses additional degrees of freedom compared to general relativity.