Quasi-local energy and ADM mass in pure Lovelock gravity

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Kastikainen , J T 2019 , ' Quasi-local energy and ADM mass in pure Lovelock gravity ' , Classical and Quantum Gravity , vol. 37 , no. 2 , 025001 . https://doi.org/10.1088/1361-6382/ab5dfa

Title: Quasi-local energy and ADM mass in pure Lovelock gravity
Author: Kastikainen, Jani Tapani
Contributor organization: Particle Physics and Astrophysics
Date: 2019-12-19
Language: eng
Number of pages: 22
Belongs to series: Classical and Quantum Gravity
ISSN: 0264-9381
DOI: https://doi.org/10.1088/1361-6382/ab5dfa
URI: http://hdl.handle.net/10138/323949
Abstract: We study how the standard definitions of ADM mass and Brown-York quasi-local energy generalize to pure Lovelock gravity. The quasi-local energy is renormalized using the background subtraction prescription and we consider its limit for large surfaces. We find that the large surface limit vanishes for asymptotically flat fall-off conditions except in Einstein gravity. This problem is avoided by focusing on the variation of the quasi-local energy which correctly approaches the variation of the ADM mass for large surfaces. As a result, we obtain a new simple formula for the ADM mass in pure Lovelock gravity. We apply the formula to spherically symmetric geometries verifying previous calculations in the literature. We also revisit asymptotically AdS geometries.
Subject: 114 Physical sciences
Peer reviewed: Yes
Usage restriction: openAccess
Self-archived version: acceptedVersion

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