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arXiv · 1902.04781

New coordinates for a simpler canonical derivation of the Hawking effect

Golam Mortuza Hossain·Chiranjeeb Singha
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Abstract

In order to achieve a Hamiltonian-based canonical derivation of the Hawking effect, one usually faces multiple hurdles. Firstly, the spacetime foliation using Schwarzschild time does not lead to hyper-surfaces which are always spacelike. Secondly, the null coordinates which are frequently used in covariant approach, do not lead to a true matter Hamiltonian. Recently, an exact canonical derivation was presented using the so-called near-null coordinates. However, there too one faces the difficulty of having to deal with non-vanishing matter diffeomorphism generator as the spatial decomposition involves a non-zero shift vector. Here we introduce a new set of coordinates which allows one to perform an exact canonical derivation of Hawking effect without having to deal with matter diffeomorphism generator.

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Golam Mortuza Hossain, Chiranjeeb Singha. 2019-02-13. New coordinates for a simpler canonical derivation of the Hawking effect. https://arxiv.org/abs/1902.04781

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