On a black hole in a radiation filled cavity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Black Holes (Astronomy), Interstellar Radiation, Mass Distribution, Thermodynamic Equilibrium, Black Body Radiation, Entropy, Evaporation, Reaction Kinetics, Space-Time Functions, Temperature

Scientific paper

A temperature formula (which includes a back-reaction correction) and an entropy formula are used to study the problem of the thermal equilibrium of a black hole in a radiation-filled cavity with perfectly reflecting walls. At a fixed volume and energy, the equilibrium state is defined as the absolute maximum of entropy as a function of the black hole mass. It is found that the black hole remains indefinitely in stable equilibrium with its radiation, independent of the cavity volume, provided that the total entropy of the system is greater than alpha, a constant related to the spectrum of particles emitted by the black hole. The results contradict the previous suggestion that a phase transition exists between the equilibrium states of pure radiation and the equilibrium states of the black hole.

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