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Symmetry 2015, 7(4), 2038-2046; doi:10.3390/sym7042038

Is the Hawking Quasilocal Energy “Newtonian”?

Physics Department and STAR Research Cluster, Bishop’s University, 2600 College Street, Sherbrooke, Québec, Canada J1M 1Z7
Academic Editor: Shin’ichi Nojiri
Received: 20 October 2015 / Revised: 26 October 2015 / Accepted: 28 October 2015 / Published: 5 November 2015
View Full-Text   |   Download PDF [155 KB, uploaded 9 November 2015]

Abstract

The Misner–Sharp–Hernandez mass defined in general relativity and in spherical symmetry has been recognized as having a Newtonian character in previous literature. In order to better understand this feature we relax spherical symmetry and we study the generalization of the Misner–Sharp–Hernandez mass to general spacetimes, i.e., the Hawking quasilocal mass. The latter is decomposed into a matter contribution and a contribution coming solely from the Weyl tensor. The Weyl tensor is then decomposed into an electric part (which has a Newtonian counterpart) and a magnetic one (which does not), which further splits the quasilocal mass into “Newtonian” and “non-Newtonian” parts. Only the electric (Newtonian) part contributes to the quasilocal mass. View Full-Text
Keywords: quasilocal energy; Hawking mass; classical general relativity quasilocal energy; Hawking mass; classical general relativity
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Faraoni, V. Is the Hawking Quasilocal Energy “Newtonian”? Symmetry 2015, 7, 2038-2046.

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