Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979gregr..11...59w&link_type=abstract
General Relativity and Gravitation, vol. 11, Sept. 1979, p. 59-70. Research supported by the Deutsche Forschungsgemeinschaft.
Astronomy and Astrophysics
Astrophysics
2
Astrophysics, Black Holes (Astronomy), Radiation Distribution, Cavities, Entropy
Scientific paper
The equilibrium of a black hole in a radiation-filled cavity is examined, and its implications for the value of black hole horizon entropy are considered. The time required for the spontaneous formation of a black hole inside a cavity of black-body radiation is estimated in terms of the entropy of the initial thermal distribution and the fluctuations to be much larger than the estimated age of the universe. The equilibrium of such a hole formed after many eons is then examined, and it is shown that while the black hole has a small absorption cross section which hinders accretion, it can be in equilibrium due to the greater difficulty of evaporation. Black hole entropy is then introduced to investigate the stability of the equilibrium states for different size cavities and it is found that for cavities smaller than 0.2556 times the black hole volume, the presence of a hole is favored. An expression for black hole entropy is then derived from the temperature of the hole and the accretion formula.
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