Metric fluctuation corrections to Hawking radiation

C. Barrabès, V. Frolov, and R. Parentani
Phys. Rev. D 59, 124010 – Published 12 May 1999
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Abstract

We study how fluctuations of the black hole geometry affect the properties of Hawking radiation. Even though we treat the fluctuations classically, we believe that the results so obtained indicate what might be the effects induced by quantum fluctuations in a self-consistent treatment. To characterize the fluctuations, we use the model introduced by York in which they are described by an advanced Vaidya metric with a fluctuating mass. Under the assumption of spherical symmetry, we solve the equation of null outgoing rays. Then, by neglecting the greybody factor, we calculate the late time corrections to the s-wave contributions of the energy flux and the asymptotic spectrum. We find three kinds of modifications. First, the energy flux fluctuates around its average value with amplitudes and frequencies determined by those of the metric fluctuations. Secondly, this average value receives two positive contributions, one of which can be reinterpreted as due to the “renormalization” of the surface gravity induced by the metric fluctuations. Finally, the asymptotic spectrum is modified by the addition of terms containing thermal factors in which the frequency of the metric fluctuations acts as a chemical potential.

  • Received 21 December 1998

DOI:https://doi.org/10.1103/PhysRevD.59.124010

©1999 American Physical Society

Authors & Affiliations

C. Barrabès1,*, V. Frolov2,†, and R. Parentani1,‡

  • 1Laboratoire de Mathématiques et Physique Théorique, CNRS UPRES A 6083, Université de Tours, 37200 Tours, France
  • 2Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Canada T6G 2J1

  • *Email address: barrabes@celfi.phys.univ-tours.fr
  • Email address: frolov@phys.ualberta.ca
  • Email address: parenta@celfi.phys.univ-tours.fr

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Vol. 59, Iss. 12 — 15 June 1999

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