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Vacuum Degeneracy and Conformal Mass in Lovelock AdS Gravity

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arxiv 1710.08512 v2 pith:4SCNJELS submitted 2017-10-23 hep-th gr-qc

Gabriel Arenas-Henriquez , Olivera Miskovic , Rodrigo Olea This is my paper · ORCID
classification hep-thgr-qc
keywords conformallovelockmassbranchdegeneracydegenerategravitytheory
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It is shown that the notion of Conformal Mass can be defined within a given anti-de Sitter (AdS) branch of a Lovelock gravity theory as long as the corresponding vacuum is not degenerate. Indeed, conserved charges obtained by the addition of Kounterterms to the bulk action turn out to be proportional to the electric part of the Weyl tensor, when the fall-off of a generic solution in that AdS branch is considered. The factor of proportionality is the degeneracy condition for the vacua in the particular Lovelock AdS theory under study. This last feature explains the obstruction to define Conformal Mass in the degenerate case.

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  1. Quasi-local energy and ADM mass in pure Lovelock gravity

    gr-qc 2019-08 accept novelty 6.0 of 10

    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.

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