The Bocharova–Bronnikov–Melnikov–Bekenstein black hole’s exact quasibound states and Hawking radiation
Issued Date
2024-06-01
Resource Type
ISSN
14346044
eISSN
14346052
Scopus ID
2-s2.0-85195914739
Journal Title
European Physical Journal C
Volume
84
Issue
6
Rights Holder(s)
SCOPUS
Bibliographic Citation
European Physical Journal C Vol.84 No.6 (2024)
Suggested Citation
Senjaya D. The Bocharova–Bronnikov–Melnikov–Bekenstein black hole’s exact quasibound states and Hawking radiation. European Physical Journal C Vol.84 No.6 (2024). doi:10.1140/epjc/s10052-024-12957-6 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/98919
Title
The Bocharova–Bronnikov–Melnikov–Bekenstein black hole’s exact quasibound states and Hawking radiation
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Abstract
In this letter, we investigate behaviour of massive and massless scalar field that is represented by the covariant Klein–Gordon equation with Bocharova–Bronnikov–Melnikov–Bekenstein (BBMB) black hole background. We successfully solve analytically the governing relativistic wave equation and discover the exact quasibound states’ wave functions and energy levels of both massive and massless cases. The corresponding quasibound states have complex-valued energy E=ER+iEI where the real part ER can be interpreted as the scalar’s relativistic quantized energy while the imaginary part represents decay as the quasibound states tunnels through the black hole’s horizon. The Hawking radiation coming out of the BBMB black hole’s horizon is also discussed and calculated via the Damour–Ruffini method, i.e. by singling out the particle–anti-particle parts of the obtained exact scalar’s exact wave function from where, the radiation distribution function is derived and the Hawking temperature is obtained.