Authors

Citation

C. Barrabes et al., Stochastically fluctuating black-hole geometry, Hawking radiation, and thetrans-Planckian problem - art. no. 044020, PHYS REV D, 6204(4), 2000, pp. 4020

Citations number

38

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Physics

Journal title

PHYSICAL REVIEW D

ISSN journal

0556-2821
→ ACNP

Volume

6204

Issue

4

Year of publication

2000

Database

ISI

SICI code

0556-2821(20000815)6204:4<4020:SFBGHR>2.0.ZU;2-X

Abstract

We study the propagation of null rays and massless fields in a black hole f
luctuating geometry. The: metric fluctuations are induced by a small oscill
ating incoming flux of energy. The flux also induces black hole mass oscill
ations around its average value. We assume that the metric fluctuations are
described by a statistical ensemble. The stochastic variables are the phas
es and the amplitudes of Fourier modes of the fluctuations. By averaging ov
er these variables, we obtain an effective propagation for massless fields
which is characterized by a critical length defined by the amplitude of the
metric fluctuations: Smooth wave packets with respect to this length are n
ot significantly affected when they an propagated forward in time. Concomit
antly, we find that the asymptotic properties of Hawking radiation are not
severely modified. However, backward propagated wave packets are dissipated
by the metric fluctuations once their blueshifted frequency reaches the in
verse critical length. All these properties bear many resemblances with tho
se obtained in models for black hole radiation based on a modified dispersi
on relation. This strongly suggests that the physical origin of these model
s, which were introduced to confront the trans-Planckian problem, comes fro
m the fluctuations of the black hole geometry.