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arXiv · 2205.10809

Energy of anti-de Sitter black holes in odd-dimensional Quadratic Curvature Gravity

Olivera Miskovic·Rodrigo Olea·Yoel Parra-Cisterna
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Abstract

We provide new formulas for the energy of black hole solutions in the anti-de Sitter (AdS) sector of a generic gravity theory with curvature-squared terms. This is achieved by the addition of counterterms of the extrinsic type (\emph{Kounterterms}) which produces a finite variation of the total action. The procedure is compatible with the boundary conditions in asymptotically AdS spaces within the framework of Quadratic Curvature Gravity (QCG) theory. As a consequence, without resorting to background-substraction, or linearized methods, the conserved charges correctly reproduce the energy of static black holes in QCG.

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Olivera Miskovic, Rodrigo Olea, Yoel Parra-Cisterna. 2022-05-22. Energy of anti-de Sitter black holes in odd-dimensional Quadratic Curvature Gravity. https://doi.org/10.1103/physrevd.106.044048

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