Upper bound for entropy in asymptotically de Sitter space-time

Details Upper bound for entropy in asymptotically de Sitter space-time Upper bound for entropy in asymptotically de Sitter space-time

1997-12-05

arxiv.org/abs/gr-qc/9712029v1

Phys.Rev. D57 (1998) 3503-3508

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, REVTeX,2 figures; to be published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.57.3503

We investigate nature of asymptotically de Sitter space-times containing a black hole. We show that if the matter fields satisfy the dominant energy condition and the cosmic censorship holds in the considering space-time, the area of the cosmological event horizon for an observer approaching a future timelike infinity does not decrease, i.e. the second law is satisfied. We also show under the same conditions that the total area of the black hole and the cosmological event horizon, a quarter of which is the total Bekenstein-Hawking entropy, is less than $12\pi/\Lambda$, where $\Lambda$ is a cosmological constant. Physical implications are also discussed.

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