Vacuum Degeneracy and Conformal Mass in Lovelock AdS Gravity
High Energy Physics - Theory
2017-12-01 v2 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.1710.08512,
title = {Vacuum Degeneracy and Conformal Mass in Lovelock AdS Gravity},
author = {Gabriel Arenas-Henriquez and Olivera Miskovic and Rodrigo Olea},
journal= {arXiv preprint arXiv:1710.08512},
year = {2017}
}
Comments
22 pages, no figures, a few references added