In pure Lovelock gravity, the large-surface limit of the variation of Brown-York quasi-local energy equals the variation of the ADM mass, giving an explicit new mass formula.
Black Hole Energy in Lovelock Unique Vacuum theories
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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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gr-qc 1years
2019 1verdicts
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Quasi-local energy and ADM mass in pure Lovelock gravity
In pure Lovelock gravity, the large-surface limit of the variation of Brown-York quasi-local energy equals the variation of the ADM mass, giving an explicit new mass formula.