Logarithmic correction to the Bekenstein-Hawking entropy

Details Logarithmic correction to the Bekenstein-Hawking entropy Logarithmic correction to the Bekenstein-Hawking entropy

2000-02-10

arxiv.org/abs/gr-qc/0002040v3

Phys.Rev.Lett.84:5255-5257,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevLett.84.5255

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.

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