5D Lovelock gravity: new exact solutions 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.

arXiv commentLATEX, 15 pages; v2 minor revisions, one reference added

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• Holography in Lovelock Chern-Simons AdS Gravity
• Charged Taub-NUT solution in Lovelock gravity with generalized Wheeler polynomials
• The Noether Symmetry Approach: Foundation and applications. The case of scalar-tensor Gauss-Bonnet gravity
• A black hole with torsion in 5D Lovelock gravity
• Energy Conditions in Gauss-Bonnet Gravity
• Black holes with topological charges in Chern-Simons AdS${}_5$ supergravity