General Heun function, Damour–Ruffini method and Klein–Gordon equation in static black holes with nonlinear electrodynamics
Year: 2026
Type: article
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 inner 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.
Source: Annals of Physics
Author: David Senjaya
Institution: Mahidol University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,160
OpenAlex ID: W7133758239