General Heun function, Damour–Ruffini method and Klein–Gordon equation in static black holes with nonlinear electrodynamics
2
Issued Date
2026-06-01
Resource Type
ISSN
00034916
eISSN
1096035X
Scopus ID
2-s2.0-105031713842
Journal Title
Annals of Physics
Volume
489
Rights Holder(s)
SCOPUS
Bibliographic Citation
Annals of Physics Vol.489 (2026)
Suggested Citation
Senjaya D. General Heun function, Damour–Ruffini method and Klein–Gordon equation in static black holes with nonlinear electrodynamics. Annals of Physics Vol.489 (2026). doi:10.1016/j.aop.2026.170422 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/115626
Title
General Heun function, Damour–Ruffini method and Klein–Gordon equation in static black holes with nonlinear electrodynamics
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Abstract
We investigate the dynamics of a scalar field in the spacetime of a static, spherically symmetric black hole arising from non-linear Einstein–Maxwell theory, which introduces rich structures beyond the standard Reissner–Nordström solution. By solving the covariant Klein–Gordon equation, we obtain novel exact radial solutions expressed through General Heun functions. Imposing the associated polynomial condition leads to a fully analytical, quantized energy spectrum, providing an exact formula for the quasibound state eigenenergies. Moreover, employing the Damour–Ruffini method, we study Hawking radiation and derive an explicit expression for the Hawking temperature at the event horizon. These results demonstrate how non-linear electrodynamic effects modify scalar field dynamics and black hole thermodynamics, offering a new framework to explore quantum phenomena in strongly curved spacetimes.