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Black Hole Thermodynamics, Casimir Effect and Induced Gravity

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Abstract

An analogy between the subtraction procedure in the Gibbons-Hawking Euclidean path integral approach to black hole thermodynamics and the Casimir effect is shown. Then a conjecture about a possible Casimir nature of the Gibbons-Hawking subtraction is made in the framework of Sakharov's induced gravity. In this framework it appears that the degrees of freedom involved in the Bekenstein-Hawking entropy can be naturally identified with zero-point modes of the matter fields. Some consequences of this view are sketched.

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Authors
  1. F. Belgiorno
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  2. S. Liberati
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Belgiorno, F., Liberati, S. Black Hole Thermodynamics, Casimir Effect and Induced Gravity. General Relativity and Gravitation 29, 1181–1194 (1997). https://doi.org/10.1023/A:1018895226085

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