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Hawking radiation in different coordinate settings: Complex paths approach. (English) Zbl 1002.83039

Summary: We apply the technique of complex paths to obtain Hawking radiation in different coordinate representations of the Schwarzschild spacetime. 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.

MSC:

83C57 Black holes
80A10 Classical and relativistic thermodynamics
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