Entropy of self-gravitating radiation systems and gravitational collapse.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Black Holes: Entropy, Gravitational Collapse

Scientific paper

The entropy of a self-gravitating radiation system confined to a spherical box (including two cases: with a central black hole and without a central black hole) is calculated by using the equation of state of radiation near a black-hole horizon. The upper bound on the total entropy including the entropy of the central black hole is exactly equal to the entropy of the black hole with the same mass. A reasonable mode of the gravitational collapse of a self-gravitating radiation system should be the process that a central black hole forms at first, then the black hole becomes greater and greater till all radiation matter collapses into the black hole. In the collapsing process, the entropy of any intermediate state is always less than the entropy of the black hole of the final state. In this way, an explanation for the origin of black-hole entropy is provided.

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