Proof of the entropy bound on dynamical horizons

Details Proof of the entropy bound on dynamical horizons Proof of the entropy bound on dynamical horizons

2008-07-29

arxiv.org/abs/0807.4574v1

JHEP0808:005,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 3 figures, accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2008/08/005

The entropy bound conjecture concerning black hole dynamical horizons is proved. The conjecture states, if a dynamical horizon, $D_H$, is bounded by two surfaces with areas of $A_B$ and $\abp$ ($\abp>A_B$), then the entropy, $S_D$, that crosses $D_H$ must satisfy $S_D\leq {1/4}(\abp-A_B)$. We show that this conjecture is implied by the generalized Bousso bound. Consequently, the generalized second law holds for dynamical horizons. Finally, we show that the lightlike bousso bound and its spacelike counterpart can be unified as one bound.

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