5D Lovelock gravity: New exact solutions with torsion

Five-dimensional Lovelock gravity is investigated in the first order formalism. A new class of exact solutions is constructed: the Bañados, Teitelboim, Zanelli black rings with and without torsion. We show that our solution with torsion exists in a different sector of the Lovelock gravity, as compar...

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Bibliographic Details
Published in:Physical review. D 2016-10, Vol.94 (8), Article 084037
Main Authors: Cvetković, B., Simić, D.
Format: Article
Language:English
Subjects:
Exact solutions
Gravitation
Mathematical analysis
Relativity
Torsion
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Summary:Five-dimensional Lovelock gravity is investigated in the first order formalism. A new class of exact solutions is constructed: the Bañados, Teitelboim, Zanelli black rings with and without torsion. We show that our solution with torsion exists in a different sector of the Lovelock gravity, as compared to the Lovelock Chern-Simons sector or the one investigated by Canfora et al. The conserved charges of the solutions are found using Nester’s formula, and the results are confirmed by the canonical method. We show that the theory linearized around the background with torsion possesses two additional degrees of freedom with respect to general relativity.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.94.084037