Entropy of self-gravitating radiation

Details Entropy of self-gravitating radiation Entropy of self-gravitating radiation

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13.1127s&link_type=abstract

General Relativity and Gravitation, vol. 13, Dec. 1981, p. 1127-1146.

Astronomy and Astrophysics

Astronomy

74

Entropy, Gravitational Waves, Relativity, Thermodynamic Equilibrium, Black Holes (Astronomy), Schwarzschild Metric, Space-Time Functions, Stress Tensors, Thermal Radiation

Scientific paper

The entropy of self-gravitating radiation confined to a box is calculated within the framework of general relativity. The extrema of the total entropy of self-gravitating confined radiation are examined and found to coincide with static equilibrium configurations assuming that the extrema are spherically and time symmetric. The equilibrium configurations and their entropies are calculated, and it is shown that the local extrema are not global entropy maxima. If configurations which are within their own Schwarzschild radius or one radiation wavelength of it are ruled out, however, the maximum entropy is found to be bounded and on the order of the black hole entropy. Results support the validity for self-gravitating systems of the upper limit proposed by Bekenstein (1981) for the entropy-to-energy ratio of material bodies.

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