Sensitivity of Hawking radiation to superluminal dispersion relations

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.

14 pages, 7 figures. Extensive paragraph added in conclusions to clarify obtained results

References in corpus (7)

• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
• Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
• On the origin of the particles in black hole evaporation
• Lorentz Invariance Violation from String Theory
• Short-distance contribution to the spectrum of Hawking radiation
• Emergent rainbow spacetimes: Two pedagogical examples
• Phonon background versus analogue Hawking radiation in Bose-Einstein condensates

Cited by in corpus (2)

• Black/White hole radiation from dispersive theories
• Emergent gravity: the BEC paradigm