Relativistic massive and massless scalar fields bound to the Bumblebee gravity's black hole
Issued Date
2024-06-01
Resource Type
ISSN
22144048
Scopus ID
2-s2.0-85193057669
Journal Title
Journal of High Energy Astrophysics
Volume
42
Start Page
197
End Page
204
Rights Holder(s)
SCOPUS
Bibliographic Citation
Journal of High Energy Astrophysics Vol.42 (2024) , 197-204
Suggested Citation
Senjaya D. Relativistic massive and massless scalar fields bound to the Bumblebee gravity's black hole. Journal of High Energy Astrophysics Vol.42 (2024) , 197-204. 204. doi:10.1016/j.jheap.2024.05.003 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/98419
Title
Relativistic massive and massless scalar fields bound to the Bumblebee gravity's black hole
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Author's Affiliation
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Abstract
In this letter, we examine massive and massless scalar quasibound states bound in the static spherically symmetric black hole solution of the Einstein-Bumblebee space-time. We start with constructing the governing relativistic fields' dynamical equation, i.e. the Klein-Gordon equation, component by component. With the help of the ansatz of separation of variables, we find the exact solution of the angular part in terms of Spherical Harmonics while the radial exact solution is discovered in terms of the Confluent Heun function. The quantization of the quasibound state is done by applying the polynomial condition of the Confluent Heun function that reveals a complex-valued energy levels expression for the case of massive scalar, where the real part is the scalar particle's energy and the imaginary part represents the quasibound state's decay. And for a massless scalar, a pure imaginary energy levels is obtained. The quasibound states, thus, describe decaying relativistic states bound in the black hole's gravitational potential well. At the end, we investigate the Hawking radiation of the static Bumblebee black hole's horizon by deriving and investigating the radiation distribution function.