Entropy of self-gravitating radiation systems and gravitational collapse

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The entropy of a self-gravitating and radiating system confined to a spherical box (for two cases with and without a central black hole) is calculated using the equation of state of radiation near the black hole horizon, derived by Li Li-xin and Liu Liao. Unlike the result of Sorkin et al., the present result contains no divergence difficulties and the upper bound on the total entropy in the case with a central black hole is equal to the entropy of a black hole having the same mass. The following scenario is considered reasonable: a central black hole forms first, it then grows until all the radiation and matter falls into the black hole. The entropy of the system at any stage of the collapse is always less than the entropy of the final black hole, thus providing an explanation of the origin of the black hole entropy.

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