Reversible-process black hole thermodynamics

Astronomy and Astrophysics – Astronomy

Scientific paper

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Adiabatic Conditions, Black Holes (Astronomy), Thermodynamic Equilibrium, Thermodynamic Properties, Entropy, Evaporation, Radiation, Specific Heat

Scientific paper

The thermodynamics of a Schwarzschild black hole placed in a perfectly reflecting box of volume V are investigated analytically, extending the analysis of Hawking (1974), 1975, 1976), Bekenstein (1975), and Gibbons and Perry (1978). The adiabatic expansion of the system is described, and the total and black-hole entropies are obtained. The equilibrium between the black hole and the radiation gas is found to be dependent on the two conditions proposed by Hawking (1976), but only the volume condition, V less than V(E), is necessary and sufficient. Three quasi-static-evaporation processes are also analyzed (constant-energy expansion, constant-volume energy release, and adiabatic expansion), and the results are presented graphically.

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