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Hawking radiation in dispersive theories, the two regimes

Stefano Finazzi*

Renaud Parentani†

  • INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, via Sommarive 14, 38123 Povo—Trento, Italy

  • Laboratoire de Physique Théorique, CNRS UMR 8627, Bâtiment 210, Université Paris-Sud 11, 91405 Orsay Cedex, France

  • *finazzi@science.unitn.it
  • †renaud.parentani@th.u-psud.fr
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Phys. Rev. D 85, 124027 – Published 14 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.124027

Abstract

We compute the black hole radiation spectrum in the presence of high-frequency dispersion in a large set of situations. In all cases, the spectrum diverges like the inverse of the Killing frequency. When studying the low-frequency spectrum, we find only two regimes: an adiabatic one where the corrections with respect to the standard temperature are small, and an abrupt one regulated by dispersion, in which the near-horizon metric can be replaced by step functions. The transition from one regime to the other is governed by a single parameter which also governs the net redshift undergone by dispersive modes. These results can be used to characterize the quasiparticles spectrum of recent and future experiments aiming to detect the analogue Hawking radiation. They also apply to theories of quantum gravity which violate Lorentz invariance.

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Phys. Rev. D 85, 124027– Published 14 June, 2012
  • Received 27 February 2012

© 2012 American Physical Society

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