Canonical quantization of Proca field in Schwarzschild background with Dirac brackets, Hawking spectrum from Unruh vacuum, and numerical evaluation of condensate in three vacua.
The Klein-Gordon equation in the spacetime of a charged and rotating black hole
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abstract
This work deals with the influence of the gravitational field produced by a charged and rotating black hole (Kerr-Newman spacetime) on massive scalar fields. We obtain an exact solution of the Klein-Gordon equation in this spacetime, which is given in terms of the confluent Heun functions. In the particular case corresponding to an extreme Kerr-Newman black hole the solution is given by the double confluent Heun functions. We also investigate the solutions in regions near the event horizon and far from the black hole.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Canonical quantization of massive vector field in Schwarzschild black hole background
Canonical quantization of Proca field in Schwarzschild background with Dirac brackets, Hawking spectrum from Unruh vacuum, and numerical evaluation of condensate in three vacua.