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arXiv · 1909.06716

Black Hole Energy in Lovelock Unique Vacuum theories

Gabriel Arenas-Henriquez
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Abstract

In this thesis, we explore the possibility to define black hole mass in terms of the Weyl tensor for the entire family of Lovelock-AdS gravity theories. The level of degeneracy $k$ of the corresponding vacuum fixes the number of curvatures that should appear in the energy formula. Therefore, the charge expression which is a polynomial of maximal degree in the curvature, can be consistently truncated to an order $k$ in the Weyl tensor. In particular, for the maximally degenerate case in odd dimensions (Chern-Simons AdS) the expression identically vanishes and the mass must come from the formula that, in the other cases, produces the vacuum energy.

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Gabriel Arenas-Henriquez. 2019-09-15. Black Hole Energy in Lovelock Unique Vacuum theories. https://arxiv.org/abs/1909.06716

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