Hawking radiation in different coordinate settings: Complex paths approach

Details Hawking radiation in different coordinate settings: Complex paths approach Hawking radiation in different coordinate settings: Complex paths approach

2000-10-11

arxiv.org/abs/gr-qc/0010042v4

Class.Quant.Grav. 19 (2002) 2671-2688

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 2 figures, Uses IOP style file; final version; accepted in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/19/10/310

We apply the technique of complex paths to obtain Hawking radiation in different coordinate representations of the Schwarzschild space-time. The coordinate representations we consider do not possess a singularity at the horizon unlike the standard Schwarzschild coordinate. However, the event horizon manifests itself as a singularity in the expression for the semiclassical action. This singularity is regularized by using the method of complex paths and we find that Hawking radiation is recovered in these coordinates indicating the covariance of Hawking radiation as far as these coordinates are concerned.

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