Sensitivity of Hawking radiation to superluminal dispersion relations

C. Barceló, L. J. Garay, and G. Jannes
Phys. Rev. D 79, 024016 – Published 22 January 2009

Abstract

We analyze the Hawking radiation process due to collapsing configurations in the presence of superluminal modifications of the dispersion relation. With such superluminal dispersion relations, the horizon effectively becomes a frequency-dependent concept. In particular, at every moment of the collapse, there is a critical frequency above which no horizon is experienced. We show that, as a consequence, the late-time radiation suffers strong modifications, both quantitative and qualitative, compared to the standard Hawking picture. Concretely, we show that the radiation spectrum becomes dependent on the measuring time, on the surface gravities associated with different frequencies, and on the critical frequency. Even if the critical frequency is well above the Planck scale, important modifications still show up.

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  • Received 25 July 2008

DOI:https://doi.org/10.1103/PhysRevD.79.024016

©2009 American Physical Society

Authors & Affiliations

C. Barceló1, L. J. Garay2,3, and G. Jannes1,3

  • 1Instituto de Astrofísica de Andalucía, CSIC, Camino Bajo de Huétor 50, 18008 Granada, Spain
  • 2Departamento de Física Teórica II, Universidad Complutense de Madrid, 28040 Madrid, Spain
  • 3Instituto de Estructura de la Materia, CSIC, Serrano 121, 28006 Madrid, Spain

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Issue

Vol. 79, Iss. 2 — 15 January 2009

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