Invariant expression for tunneling rate under canonical transformations

doi:10.1088/1674-1056/22/11/110401

Abstract The original formula to calculate the tunneling rate through event horizons is apparently dependent on the type of coordinates used. In this paper, we propose an invariant expression under canonical transformations to study the tunneling effect. Moreover, the problem of factor 2 is solved naturally. As an application of this expression, we obtain the same tunneling rate both in the Schwarzschild and the Painlevé coordinates. It is shown that once the suitable formula to calculate tunneling rate is correctly identified, the tunneling method is manifestly covariant.

Keywords: Hawking temperature tunneling method invariant expression of tunneling rate

Received: 01 January 2013
Revised: 22 April 2013
Accepted manuscript online:

PACS:

04.70.Dy

(Quantum aspects of black holes, evaporation, thermodynamics)

Fund: Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. A2011202129).

Corresponding Authors: Ren Jun
E-mail: thebest2@163.com

Cite this article:

Ren Jun (任军), Jia Meng-Wen (贾孟文), Wei Yi-Huan (魏益焕) Invariant expression for tunneling rate under canonical transformations 2013 Chin. Phys. B 22 110401

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