Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-07-08
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, revtex. To appear in proceedings of Canadian Association of Physicists Annual Congress, Quebec City, June 2-5, 2002
Scientific paper
We show that the Bekenstein-Hawking entropy associated with any black hole undergoes logarithmic corrections when small thermodynamic fluctuations around equilibrium are taken into account. Thus, the corrected expression for black hole entropy is given by $S= A/4 - k \ln(A)$, where $A$ is the horizon area and $k$ is a constant which depends on the specific black hole. We apply our result to BTZ black hole, for which $k=3/2$, as found earlier, as well as to anti-de Sitter-Schwarzschild and Reissner-Nordstrom black hole in arbitrary spacetime dimensions. Finally, we examine the role of conformal field theory in black hole entropy and its corrections.
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