Origin of the particles in black hole evaporation
Origin of the particles in black hole evaporation
We present an analytic derivation of Hawking radiation for an arbitrary (spatial) dispersion relation $\ensuremath{\omega}(k)$ as a model for ultrahigh-energy deviations from general covariance. It turns out that the Hawking temperature is proportional to the product of the group $d\ensuremath{\omega}/dk$ and phase $\ensuremath{\omega}/k$ velocities evaluated at the frequency $\ensuremath{\omega}$ of …