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Hawking radiation with dispersion: The broadened horizon paradigm · Around

2014

Hawking radiation with dispersion: The broadened horizon paradigm

Coutant, Antonin, Parentani, Renaud

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To identify what replaces the key notion of black hole horizon when working with theories which break Lorentz invariance at high energy, we study the modes responsible for the Hawking effect in the presence of high frequency dispersion.

We show that they are regularized across the horizon over a short length which only depends on the scale of dispersion and the surface gravity.
Moreover, outside this width, short and long wavelength modes no longer mix.
These results can be used to show that the spectrum is hardly modified by dispersion as long as the background geometry does not vary significantly over this length.

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