Quasi-local energy with respect to a static spacetime
Differential Geometry
2016-04-12 v1 General Relativity and Quantum Cosmology
Abstract
This article considers the quasi-local energy in reference to a general static spacetime. We follow the approach developed by the authors in [19, 20, 7, 9] and define the quasi-local energy as a difference of surface Hamiltonians, which are derived from the Einstein-Hilbert action. The new quasi-local energy provides an effective gauge independent measurement of how far a spacetime deviates away from the reference static spacetime on a finitely extended region.
Keywords
Cite
@article{arxiv.1604.02983,
title = {Quasi-local energy with respect to a static spacetime},
author = {Po-Ning Chen and Mu-Tao Wang and Ye-Kai Wang and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1604.02983},
year = {2016}
}
Comments
16 pages. arXiv admin note: text overlap with arXiv:1603.02975