Tolman mass, generalized surface gravity, and entropy bounds
General Relativity and Quantum Cosmology
2014-11-21 v3 High Energy Physics - Theory
Abstract
In any static spacetime the quasi-local Tolman mass contained within a volume can be reduced to a Gauss-like surface integral involving the flux of a suitably defined generalized surface gravity. By introducing some basic thermodynamics and invoking the Unruh effect one can then develop elementary bounds on the quasi-local entropy that are very similar in spirit to the holographic bound, and closely related to entanglement entropy.
Keywords
Cite
@article{arxiv.1005.1132,
title = {Tolman mass, generalized surface gravity, and entropy bounds},
author = {Gabriel Abreu and Matt Visser},
journal= {arXiv preprint arXiv:1005.1132},
year = {2014}
}
Comments
V1: 4 pages. Uses revtex4-1; V2: Three references added; V3: Some notational changes for clarity; introductory paragraph rewritten; no physics changes. This version accepted for publication in Physical Review Letters