Time Evolution of Entropy in Gravitational Collapse

Abstract

We study the time evolution of the entropy of a collapsing spherical domain wall, from the point of view of an asymptotic observer, by investigating the entropy of the entire system (i.e. domain wall and radiation) and induced radiation alone during the collapse. By taking the difference, we find the entropy of the collapsing domain wall, since this is the object which will form a black hole. We find that for large values of time (times larger than $t/R_s\approx 8$), the entropy of the collapsing domain wall is a constant, which is of the same order as the Bekenstein-Hawking entropy.

9 pages, 6 figures

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• Observation of Incipient Black Holes and the Information Loss Problem
• Quantum Radiation from Quantum Gravitational Collapse
• Thermodynamic Geometry and Extremal Black Holes in String Theory
• Phase-space and Black Hole Entropy of Higher Genus Horizons in Loop Quantum Gravity
• Loop quantum gravity and Planck-size black hole entropy