The time factor in the semi-classical approach to the Hawking radiation

Abstract

The Hawking radiation in the semi-classical approach is re-considered. In the so-called "Angheben method" for the calculation of the imaginary part of the action it was missed the temporal part contribution. This has been recently noticed by Akhmedov et \textsl{al.}, but also there the time part was not properly considered, the sign being reversed. We show that using the semi-classical approach on a fixed background it is not possible to find any tunneling effect from the interior to the exterior of the Schwarzschild black hole. The same critic applies to the derivations which use the Painleve coordinates: also in this procedure it was missed the temporal factor contribution. In this way it is naturally solved also the "factor-two-problem".

10 pages, submitted 30/12/2008; v2 minor changes

References in corpus (6)

• Hawking Radiation as Tunneling
• Hawking Radiation as Tunneling for Extremal and Rotating Black Holes
• Hawking temperature in the tunneling picture
• Temporal contribution to gravitational WKB-like calculations
• Subtleties in the quasi-classical calculation of Hawking radiation
• On the existence of black hole evaporation yet again

Cited by in corpus (5)

• Comment on the ``Invariance of the Tunneling Method for Dynamical Black Holes''
• On Tunnelling Through the Black Hole Horizon
• Second comment to "Invariance of the tunneling method"
• A note on Hawking radiation via complex path analysis
• Late-time expansion in the semiclassical theory of the Hawking radiation