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From Unruh temperature to the generalized Bousso bound

Alessandro Pesci

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In a classical spacetime satisfying Einstein's equation and the null convergence condition, the same quantum mechanical effects that cause black holes to have a temperature are found to imply, if joined to the macroscopic nature of entropy, the covariant entropy bound in its generalized form. This is obtained from thermodynamics, as applied across the local Rindler causal horizon through every point p of the null hypersurfaces L the covariant entropy bound refers to, in the direction of the null geodesics generating L.


PACS

04.20.Gz Spacetime topology, causal structure, spinor structure

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.20.Jb Exact solutions

MSC

83C75 Space-time singularities, cosmic censorship, etc.

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83C15 Exact solutions

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 24 (21 December 2007)

Received 29 August 2007, in final form 29 October 2007

Published 27 November 2007



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