Tolman mass, generalized surface gravity, and entropy bounds

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.

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

References in corpus (3)

• Fate of gravitational collapse in semiclassical gravity
• Black hole mimickers: regular versus singular behavior
• Black hole entropy, curved space and monsters

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