Hawking temperature in the tunneling picture

Abstract

We examine Hawking radiation from a Schwarzschild black hole in several reference frames using the quasi-classical tunneling picture. It is shown that when one uses, $\Gamma \propto \exp (Im[\oint pdr])$, rather than, $\Gamma \propto \exp (2Im[\int pdr])$, for the tunneling probability/decay rate one obtains twice the original Hawking temperature. The former expression for $\Gamma$ is argued to be correct since $\oint pdr$ is invariant under canonical transformations, while $\int pdr$ is not. Thus, either the tunneling methods of calculating Hawking radiation are suspect or the Hawking temperature is twice that originally calculated.

7 pages revtex, no figures, added discussions/clarifications, added references, to be published PLB

References in corpus (2)

• Tunnelling, Temperature and Taub-NUT Black Holes
• A Primer for Black Hole Quantum Physics

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