Quasi-local energy and Oppenheimer-Snyder collapse
General Relativity and Quantum Cosmology
2020-08-26 v2
Abstract
We consider a scenario of the gravitational collapse of the Oppenheimer-Snyder dust cloud with spatially constant matter density. Given a closed two-surface within the star, three versions of the quasi-local energy are investigated. We show that, during the collapse, (i) the Geroch energy of the surface is nonpositive and increases to zero; (ii) the Hawking energy of the surface is monotonically increasing and approaches to the Hayward energy of the initial surface; and (iii) the Hayward energy of the surface is conserved and remains positive. These results have no restrictions on the topology and the symmetry of the surface.
Keywords
Cite
@article{arxiv.2005.04659,
title = {Quasi-local energy and Oppenheimer-Snyder collapse},
author = {Xiaokai He and Naqing Xie},
journal= {arXiv preprint arXiv:2005.04659},
year = {2020}
}
Comments
10 pages, 1 figure, references added, accepted for publication in Classical and Quantum Gravity