How sensitive is Hawking radiation to superluminal dispersion relations?

Mathematics

Scientific paper

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Quantum Gravity, Cosmology, Theory Of Quantized Fields

Scientific paper

We discuss the Hawking radiation process in a collapse scenario with superluminal dispersion relations. Due to these superluminal modifications, the horizon effectively becomes frequency-dependent. At every moment of the collapse, a critical frequency can be calculated such that frequencies higher than this critical frequency do not couple to the collapsing geometry and hence do not see any horizon. We discuss three important consequences. First, the late-time radiation in general has a lower intensity than in the standard Hawking picture. Second, the thermal output spectrum depends on the surface gravity, thereby effectively exploring the physics inside the black hole. Third, the radiation dies off as time advances.

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