Metric fluctuation corrections to Hawking radiation - art. no. 124010.

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 in duced by quantum fluctuations in a self-consistent treatment. To characteri ze 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 a ssumption of spherical symmetry, we solve the equation of null outgoing ray s. Then, by neglecting the greybody factor, we calculate the late time corr ections to the s-wave contributions of the energy flux and the asymptotic s pectrum. We find three kinds of modifications. First, the energy flux fluct uates around its average value with amplitudes and frequencies determined b y those of the metric fluctuations. Secondly, this average value receives t wo 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 con taining thermal factors in which the frequency of the metric fluctuations a cts as a chemical potential. [S0556-2821(99)05812-9].