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Phys. Rev. D 34, 373–383 (1986)

Quantum source of entropy for black holes

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Luca Bombelli, Rabinder K. Koul, Joohan Lee, and Rafael D. Sorkin
Physics Department, Syracuse University, Syracuse, New York 13244-1130

Received 25 March 1986; published in the issue dated 15 July 1986

We associate to any quantum field propagating in the background metric of a black hole an effective density matrix whose statistical entropy can be interpreted as a contribution to the total entropy of the black hole. By evaluating this contribution in a simplified case, we show that in general it can be expected to be finite and proportional to the area of the black hole. As a by-product of our calculation we obtain a general expression for the entropy of any real Gaussian density matrix.

© 1986 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.34.373
DOI:
10.1103/PhysRevD.34.373
PACS:
04.60.+n, 05.30.-d, 97.60.Lf