Black hole thermodynamics from quantum gravity

Gilad Lifschytz; Miguel Ortiz

doi:10.1016/S0550-3213(96)00596-2

Black hole thermodynamics from quantum gravity

Research output: Contribution to journal › Article › peer-review

Abstract

The semiclassical approximation is studied on hypersurfaces approaching the union of future null infinity and the event horizon on a large class of four-dimensional black hole backgrounds. Quantum fluctuations in the background geometry are shown to lead to a breakdown of the semiclassical approximation in these models. The boundary of the region where the semiclassical approximation breaks down is used to define a 'stretched horizon'. It is shown that the same effect that brings about the breakdown in semiclassical evolution associates a temperature and an entropy to the region behind the stretched horizon, and identifies the microstates that underlie the thermodynamical properties. The temperature defined in this way is equal to that of the black hole and the entropy is equal to the Bekenstein entropy up to a factor of order one.

Original language	English
Pages (from-to)	131-148
Number of pages	18
Journal	Nuclear Physics B
Volume	486
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(96)00596-2
State	Published - 17 Feb 1997
Externally published	Yes

Bibliographical note

Funding Information:
G.L. would like to thank Adi Stern for many helpful discussionsa nd the Center for TheoreticaPl hysics,MIT for financial supportd uringthe first stageso f this work.

Funding Information:
The classical behaviour of black holes contains a number of features that appear to be in close analogy with the laws of thermodynamics: The existence of an irreducible *This work was supported in part by funds provided by the U.S. Department of Energy (D.O.E.) under cooperative agreement DE-FC02-94ER408 ! 8, by the National Science Foundation under grants PHY-931581 I and PHY-9108311, and by the European Community Human Capital Mobility programme. l E-mail: [email protected] 2 Present address: Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BZ, UK. E-mail: [email protected]

Keywords

Black hole
Entropy
Stretched horizon

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0550-3213(96)00596-2

Cite this

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title = "Black hole thermodynamics from quantum gravity",

abstract = "The semiclassical approximation is studied on hypersurfaces approaching the union of future null infinity and the event horizon on a large class of four-dimensional black hole backgrounds. Quantum fluctuations in the background geometry are shown to lead to a breakdown of the semiclassical approximation in these models. The boundary of the region where the semiclassical approximation breaks down is used to define a 'stretched horizon'. It is shown that the same effect that brings about the breakdown in semiclassical evolution associates a temperature and an entropy to the region behind the stretched horizon, and identifies the microstates that underlie the thermodynamical properties. The temperature defined in this way is equal to that of the black hole and the entropy is equal to the Bekenstein entropy up to a factor of order one.",

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note = "Funding Information: G.L. would like to thank Adi Stern for many helpful discussionsa nd the Center for TheoreticaPl hysics,MIT for financial supportd uringthe first stageso f this work. Funding Information: The classical behaviour of black holes contains a number of features that appear to be in close analogy with the laws of thermodynamics: The existence of an irreducible *This work was supported in part by funds provided by the U.S. Department of Energy (D.O.E.) under cooperative agreement DE-FC02-94ER408 ! 8, by the National Science Foundation under grants PHY-931581 I and PHY-9108311, and by the European Community Human Capital Mobility programme. l E-mail: [email protected] 2 Present address: Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BZ, UK. E-mail: [email protected]",

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AB - The semiclassical approximation is studied on hypersurfaces approaching the union of future null infinity and the event horizon on a large class of four-dimensional black hole backgrounds. Quantum fluctuations in the background geometry are shown to lead to a breakdown of the semiclassical approximation in these models. The boundary of the region where the semiclassical approximation breaks down is used to define a 'stretched horizon'. It is shown that the same effect that brings about the breakdown in semiclassical evolution associates a temperature and an entropy to the region behind the stretched horizon, and identifies the microstates that underlie the thermodynamical properties. The temperature defined in this way is equal to that of the black hole and the entropy is equal to the Bekenstein entropy up to a factor of order one.

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Black hole thermodynamics from quantum gravity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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