On the origin of the particles in black hole evaporation

Details On the origin of the particles in black hole evaporation On the origin of the particles in black hole evaporation

2008-04-10

arxiv.org/abs/0804.1686v1

Phys.Rev.D78:041504,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages RevTex

Scientific paper

10.1103/PhysRevD.78.041504

We present an analytic derivation of Hawking radiation for an arbitrary (spatial) dispersion relation $\omega(k)$ as a model for ultra-high energy deviations from general covariance. It turns out that the Hawking temperature is proportional to the product of the group $d\omega/dk$ and phase $\omega/k$ velocities evaluated at the frequency $\omega$ of the outgoing radiation far away, which suggests that Hawking radiation is basically a low-energy phenomenon. Nevertheless, a group velocity growing too fast at ultra-short distances would generate Hawking radiation at ultra-high energies (``ultra-violet catastrophe'') and hence should not be a realistic model for the microscopic structure of quantum gravity.

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