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Phys. Rev. D 57, 2624–2627 (1998)

Boundary states and black hole entropy

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J. David Brown
Department of Physics and Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695–8202

Received 22 September 1997; published in the issue dated 15 February 1998

A formal derivation of black hole entropy is given as a sum over boundary states. The boundary states are labeled by energy and momentum surface densities, and parametrized by the boundary metric. The sum over state labels is expressed as a functional integral with measure determined by the density of states. The sum over metrics is expressed as a functional integral with measure determined by the universal expression for the inverse temperature gradient at the horizon. The analysis applies to any stationary, nonextreme black hole in any theory of gravitational and matter fields.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.57.2624
DOI:
10.1103/PhysRevD.57.2624
PACS:
04.70.Dy, 04.20.Fy, 04.60.Gw, 04.70.Dy, 04.20.Fy, 04.60.Gw