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

2001; IOP Publishing; Volume: 18; Issue: 24 Linguagem: Inglês

10.1088/0264-9381/18/24/308

1361-6382

Rong-Gen Cai, Yun Soo Myung, Nobuyoshi Ohta,

Noncommutative and Quantum Gravity Theories

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.