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Bekenstein bound, holography and brane cosmology in charged black hole backgrounds

Rong-Gen Cai1,2, Yun Soo Myung3 and Nobuyoshi Ohta2

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We obtain a Bekenstein entropy bound for charged objects in arbitrary dimensions (D ≥ 4) using the D-bound recently proposed by Bousso. With the help of thermodynamics of conformal field theories corresponding to anti-de sitter (AdS) Reissner–Norström (RN) black holes, we discuss the relation between the Bekenstein and Bekenstein–Verlinde bounds. In particular, we propose a Bekenstein–Verlinde-like bound for the charged systems. In the Einstein–Maxwell theory with a negative cosmological constant, we discuss the brane cosmology with positive tension using the Binetruy–Deffayet–Langlois approach. The resulting Friedman–Robertson–Walker equation can be identified with the one obtained by the moving domain wall approach in the AdS RN black hole background. Finally we also address the holographic property of the brane universe.


PACS

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

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

11.25.Hf Conformal field theory, algebraic structures

MSC

81T40 Two-dimensional field theories, conformal field theories, etc.

83F05 Cosmology

83C22 Einstein-Maxwell equations

83C57 Black holes

85A40 Cosmology (For relativistic cosmology, see 83F05)

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 24 (21 December 2001)

Received 31 July 2001, in final form 12 October 2001

Published 5 December 2001



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