High-Order Corrections to the Entropy and Area of Quantum Black Holes

Details High-Order Corrections to the Entropy and Area of Quantum Black Holes High-Order Corrections to the Entropy and Area of Quantum Black Holes

2004-05-26

arxiv.org/abs/hep-th/0405235v2

Class. Quant. Grav., Letter to the Editor. Vol. 21, L97 (2004)

Physics

High Energy Physics

High Energy Physics - Theory

3 pages

Scientific paper

10.1088/0264-9381/21/14/L01

The celebrated area-entropy formula for black holes has provided the most important clue in the search for the elusive theory of quantum gravity. We explore the possibility that the (linear) area-entropy relation acquires some smaller corrections. Using the Boltzmann-Einstein formula, we rule out the possibility for a power-law correction, and provide severe constraints on the coefficient of a possible log-area correction. We argue that a non-zero logarithmic correction to the area-entropy relation, would also imply a modification of the area-mass relation for quantum black holes.

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