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arXiv · 1905.10840

Mass in Lovelock Unique Vacuum gravity theories

Gabriel Arenas-Henriquez·Robert B. Mann·Olivera Miskovic·Rodrigo Olea
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Abstract

We derive an expression for conserved charges in Lovelock AdS gravity for solutions having $k$-fold degenerate vacua, making manifest a link between the degeneracy of a given vacuum and the nonlinearity of the energy formula. We show for a black hole solution to the field equations on a branch of multiplicity $k$ that its mass comes from an expression that contains the product of $k$ Weyl tensors. We prove that all divergent contributions of the type (Weyl)$^q$, with $1\le q 1$. Our results provide insight on the holographic properties of degenerate Lovelock theories.

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Gabriel Arenas-Henriquez, Robert B. Mann, Olivera Miskovic, Rodrigo Olea. 2019-08-30. Mass in Lovelock Unique Vacuum gravity theories. https://doi.org/10.1103/physrevd.100.064038

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