Black Hole Energy in Lovelock Unique Vacuum theories

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.

57 pages, 1 figure, MSc thesis. v2: typos corrected, references added

References in corpus (7)

• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Universal regularization prescription for Lovelock AdS gravity
• Universality of squashed-sphere partition functions
• NUTs and bolts beyond Lovelock
• Universal Structure of Covariant Holographic Two-Point Functions In Massless Higher-Order Gravities
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