Logarithmic correction to the Bekenstein-Hawking entropy

Abstract

The exact formula derived by us earlier for the entropy of a four dimensional non-rotating black hole within the quantum geometry formulation of the event horizon in terms of boundary states of a three dimensional Chern-Simons theory, is reexamined for large horizon areas. In addition to the {\it semiclassical} Bekenstein-Hawking contribution to the area obtained earlier, we find a contribution proportional to the logarithm of the area together with subleading corrections that constitute a series in inverse powers of the area.

4 pages in Revtex format, one eps figure; version published in Physical Review Letters

References in corpus (2)

• Entropy from Conformal Field Theory at Killing Horizons
• Modifications of the area law and N=2 supersymmetric black holes

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