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Logarithmic Correction to the Bekenstein-Hawking Entropy

Romesh K. KaulThe Institute of Mathematical Sciences, Chennai 600 113, IndiaParthasarathi MajumdarThe Institute of Mathematical Sciences, Chennai 600 113, India
2000en
ABI

Abstract

The exact formula derived by us earlier for the entropy of a four dimensional nonrotating 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 semiclassical Bekenstein-Hawking contribution proportional 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.

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