General Logarithmic Corrections to Black Hole Entropy

Details General Logarithmic Corrections to Black Hole Entropy General Logarithmic Corrections to Black Hole Entropy

2001-10-31

arxiv.org/abs/hep-th/0111001v3

Class.Quant.Grav. 19 (2002) 2355-2368

Physics

High Energy Physics

High Energy Physics - Theory

12 Pages, Revtex. Minor changes, reference added. To appear in Class. and Quant. Grav

Scientific paper

10.1088/0264-9381/19/9/302

We compute leading order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium. When applied to black holes, these corrections are shown to be of the form $-k\ln(Area)$. For BTZ black holes, $k=3/2$, as found earlier. We extend the result to anti-de Sitter Schwarzschild and Reissner-Nordstrom black holes in arbitrary dimensions. Finally we examine the role of conformal field theory in black hole entropy and its corrections.

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