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Title: Black/white hole radiation from dispersive theories

Abstract

We study the fluxes emitted by black holes when using dispersive field theories. We work with stationary one-dimensional backgrounds which are asymptotically flat on both sides of the horizon. The asymptotic fluxes are governed by a 3x3 Bogoliubov transformation. The fluxes emitted by the corresponding white holes are regular and governed by the inverse transformation. We numerically compute the spectral properties of these fluxes for both sub- and superluminal quartic dispersion. The leading deviations with respect to the dispersionless flux are computed and shown to be governed by a critical frequency above which there is no radiation. Unlike the UV scale governing dispersion, its value critically depends on the asymptotic properties of the background. We also study the flux outside the robust regime. In particular we show that its low-frequency part remains almost thermal but with a temperature which significantly differs from the standard one. Applications to four-dimensional black holes and Bose-Einstein condensates are in preparation.

Authors:
;  [1]
  1. Laboratoire de Physique Theorique, CNRS UMR 8627, Batiment 210, Universite Paris-Sud 11, 91405 Orsay Cedex (France)
Publication Date:
OSTI Identifier:
21300967
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.79.124008; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ASYMPTOTIC SOLUTIONS; BLACK HOLES; BOGOLYUBOV TRANSFORMATION; BOSE-EINSTEIN CONDENSATION; COMPUTERIZED SIMULATION; COSMIC RADIATION; CRITICAL FREQUENCY; DISPERSIONS; FIELD THEORIES; FOUR-DIMENSIONAL CALCULATIONS; NUMERICAL ANALYSIS; ONE-DIMENSIONAL CALCULATIONS; WHITE HOLES

Citation Formats

Macher, Jean, and Parentani, Renaud. Black/white hole radiation from dispersive theories. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.124008.
Macher, Jean, & Parentani, Renaud. Black/white hole radiation from dispersive theories. United States. https://doi.org/10.1103/PHYSREVD.79.124008
Macher, Jean, and Parentani, Renaud. 2009. "Black/white hole radiation from dispersive theories". United States. https://doi.org/10.1103/PHYSREVD.79.124008.
@article{osti_21300967,
title = {Black/white hole radiation from dispersive theories},
author = {Macher, Jean and Parentani, Renaud},
abstractNote = {We study the fluxes emitted by black holes when using dispersive field theories. We work with stationary one-dimensional backgrounds which are asymptotically flat on both sides of the horizon. The asymptotic fluxes are governed by a 3x3 Bogoliubov transformation. The fluxes emitted by the corresponding white holes are regular and governed by the inverse transformation. We numerically compute the spectral properties of these fluxes for both sub- and superluminal quartic dispersion. The leading deviations with respect to the dispersionless flux are computed and shown to be governed by a critical frequency above which there is no radiation. Unlike the UV scale governing dispersion, its value critically depends on the asymptotic properties of the background. We also study the flux outside the robust regime. In particular we show that its low-frequency part remains almost thermal but with a temperature which significantly differs from the standard one. Applications to four-dimensional black holes and Bose-Einstein condensates are in preparation.},
doi = {10.1103/PHYSREVD.79.124008},
url = {https://www.osti.gov/biblio/21300967}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 79,
place = {United States},
year = {Mon Jun 15 00:00:00 EDT 2009},
month = {Mon Jun 15 00:00:00 EDT 2009}
}