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Phys. Rev. Lett. 78, 3810–3813 (1997)

Gravitational Instanton for Black Hole Radiation

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S. Massar1 and R. Parentani2
1Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel-Aviv University, Tel-Aviv 69978, Israel
2Laboratoire de Mathématiques et Physique Théorique, C. N. R. S. UPRES A 6083, Faculté des Sciences, Université de Tours, 37200 Tours, France

Received 10 January 1997; published in the issue dated 19 May 1997

Hawking radiation is derived from the existence of a Euclidean instanton which lives in the Euclidean black hole geometry. Upon taking into account the gravitational field of the instanton itself, its action is exactly equal to one-quarter the change in the horizon area. This result also applies to the Schwinger process, the Unruh process, and particle creation in de Sitter space. The implications for horizon thermodynamics are discussed.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.3810
DOI:
10.1103/PhysRevLett.78.3810
PACS:
04.70.Dy