Exact Hawking Radiation of Scalars, Fermions, and Bosons Using the Tunneling Method Without Back-Reaction

Abstract

Hawking radiation is studied for arbitrary scalars, fermions, and spin-1 bosons, using a tunneling approach, to every order in $\hslash$ but ignoring back-reaction effects. It is shown that the additional quantum terms yield no new contribution to the Hawking temperature. Indeed, it is found that the limit of small $\hslash$ in the standard quantum WKB approximation is replaced by the near-horizon limit in the gravitational WKB approach.

arXiv comment8 pages, no figures. v3: Introduction updated. Version to appear in PLB

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