Metric Fluctuation Corrections to Hawking Radiation

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 kind of modifications. Firstly, 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 `renormalisation' 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.

arXiv comment27 pages, 2 figures, LaTeX. Revised version

References in corpus (15)

• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• Self-Interaction Correction to Black Hole Radiance
• Hawking Spectrum and High Frequency Dispersion
• Black Hole Evaporation without Information Loss
• Hawking Radiation Without Transplanckian Frequencies
• Microcanonical D-branes and Back Reaction
• Black Hole Evaporation in the Presence of a Short Distance Cutoff
• Black Hole Horizons and Complementarity
• The Semi-Classical Back Reaction to Black Hole Evaporation
• One-loop corrections for Schwarzschild black hole via 2D dilaton gravity
• Source Vacuum Fluctuations of Black Hole Radiance
• General Solution for Self-Gravitating Spherical Null Dust
• Loop Corrections in the Spectrum of 2D Hawking Radiation
• A Quantum Model of Schwarzschild Black Hole Evaporation

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