Relativistic scalar fields canonical quantization in Einstein–Yang–Mills–Higgs’s rotating black hole space-time
Issued Date
2024-07-01
Resource Type
ISSN
14346044
eISSN
14346052
Scopus ID
2-s2.0-85200052066
Journal Title
European Physical Journal C
Volume
84
Issue
7
Rights Holder(s)
SCOPUS
Bibliographic Citation
European Physical Journal C Vol.84 No.7 (2024)
Suggested Citation
Senjaya D. Relativistic scalar fields canonical quantization in Einstein–Yang–Mills–Higgs’s rotating black hole space-time. European Physical Journal C Vol.84 No.7 (2024). doi:10.1140/epjc/s10052-024-13106-9 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/100250
Title
Relativistic scalar fields canonical quantization in Einstein–Yang–Mills–Higgs’s rotating black hole space-time
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Author's Affiliation
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Abstract
The quantum theory of relativistic mechanics to deal with the scalar fields behavior in a curved space-time is represented by the Klein–Gordon equation. In this work, we will investigate the gravitationally bound states of massive and massless scalar fields around a Einstein–Yang–Mills–Higgs’s rotating black hole. After applying the standard separation of variables ansatz, we will show in detail how to obtain the novel exact solutions of the radial part of the governing Klein–Gordon equation and express the radial solution in terms of the Confluent Heun functions. By applying the bound state boundary conditions, the Confluent Heun functions are reduced to be polynomials that lead to energy quantization. We find that the scalar fields have complex-valued energy levels that indicate the decaying/growing bound states known as quasibound states. In the end, using the exact radial solution, we derive the radiation distribution function of the black hole’s outer horizon to obtain the equation of the Hawking temperature.