A black hole with torsion in 5D Lovelock gravity

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.

arXiv commentLATEX, 15 pages; v2, redaction improved, references added

References in corpus (18)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Black Strings and p-Branes are Unstable
• A rotating black ring in five dimensions
• Black Holes in Higher Dimensions
• The Lovelock Black Holes
• Black holes with topologically nontrivial AdS asymptotics
• Black Holes in Pure Lovelock Gravities
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• A Lovelock black hole bestiary
• On black strings & branes in Lovelock gravity
• Lovelock black holes with maximally symmetric horizons
• Black Holes without Mass and Entropy in Lovelock Gravity
• Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity
• Black holes, parallelizable horizons and half-BPS states for the Einstein-Gauss-Bonnet theory in five dimensions
• Vacuum static compactified wormholes in eight-dimensional Lovelock theory
• Black holes with gravitational hair in higher dimensions
• BTZ-like black holes in even dimensional Lovelock theories
• 5D Lovelock gravity: new exact solutions with torsion

Cited by in corpus (5)

• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
• Gravitational Analysis of Einstein-Non-Linear-Maxwell-Yukawa Black Hole under the Effect of Newman-Janis Algorithm
• Symmetries of first-order Lovelock gravity
• Boundary terms, branes and AdS/BCFT in first-order gravity