Method of complex paths and general covariance of Hawking radiation

Details Method of complex paths and general covariance of Hawking radiation Method of complex paths and general covariance of Hawking radiation

2000-07-11

arxiv.org/abs/gr-qc/0007022v2

Mod.Phys.Lett. A16 (2001) 571-578

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, uses MPLA Style file, Accepted for publication in Mod. Phys. Letts. A

Scientific paper

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 semi-classical 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. This also shows that there is no correspondence between the particles detected by the model detector and the particle spectrum obtained by the quantum field theoretic analysis -- a result known in other contexts as well.

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