https://doi.org/10.1140/epjc/s10052-020-7660-0
Regular Article - Theoretical Physics
New coordinates for a simpler canonical derivation of the Hawking effect
Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur, 741 246, West Bengal, India
* e-mail: cs12ip026@iiserkol.ac.in
Received:
30
August
2019
Accepted:
18
January
2020
Published online:
1
February
2020
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.
© The Author(s), 2020
