Partition Function of the Schwarzschild Black Hole

Details Partition Function of the Schwarzschild Black Hole Partition Function of the Schwarzschild Black Hole

2011-07-19

arxiv.org/abs/1107.3975v1

Entropy 2011, 13, 1324-1325

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, 1 figure. Published in the special issue "Black Hole Thermodynamics" of the Journal Entropy

Scientific paper

We consider a microscopic model of a stretched horizon of the Schwarzschild black hole. In our model the stretched horizon consists of a finite number of discrete constituents. Assuming that the quantum states of the Schwarzschild black hole are encoded in the quantum states of the constituents of its stretched horizon in a certain manner we obtain an explicit, analytic expression for the partition function of the hole. Our partition function predicts, among other things, the Hawking effect, and provides it with a microscopic, statistical interpretation.

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