Entropy production by black holes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Entropy, Gravitational Collapse, Irreversible Processes, Astronomical Models, Cosmology, Galactic Evolution

Scientific paper

It is noted that the entropy which can be assigned to a black hole on the basis of energy arguments implies that the collapse of a star of 1 solar mass would increase the entropy of the Galaxy by a factor of the order of 1 million. An attempt is made to resolve this apparent contradiction by showing that the 'entropy' of a black hole is actually the entropy it would produce during its irreversible evaporation. It is proposed that a black hole forms on a certain collapse time scale with an entropy at birth that is smaller than that of its building blocks. Then, if isolated, the black hole irreversibly evaporates on a huge time scale with a small entropy-production rate, implying that the entropy of the Galaxy would hardly be affected by the formation of a black hole. This suggested resolution of the problem is made more explicit by examining the entropy of a black hole in terms of a hypersurface integral over the entropy four-current density.

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