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Stability properties of Hawking radiation in the presence of ultraviolet violation of local Lorentz invariance

2014/05/14 by Antonin Coutant, Coutant, Antonin
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1405.3466

Ph.D. Thesis. 205 pages, 5 chapters, 37 figures. Tiny improvements with respect to official university version

arxiv created 2014/05/14 · openalex publication_date 2014/05/14 · arxiv updated 2014/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this thesis, we study several features of Hawking radiation in the presence of ultraviolet Lorentz violations. These violations are implemented by a modified dispersion relation that becomes nonlinear at short wavelengths. The motivations of this work arise on the one hand from the developing field of analog gravity, where we aim at measuring the Hawking effect in fluid flows that mimic black hole space-times, and on the other hand from the possibility that quantum gravity effects might be approximately modeled by a modified dispersion relation. We develop several studies on various aspects of the problem. First we obtain precise characterizations about the deviations from the Hawking result of black hole radiation, which are induced by dispersion. Second, we study the emergence, both in white hole flows or for massive fields, of a macroscopic standing wave, spontaneously produced from the Hawking effect, and known as `undulation'. Third, we describe in detail an instability named black hole laser, which arises in the presence of two horizons, where Hawking radiation is self-amplified and induces an exponentially growing in time emitted flux.

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