Sakallı, İzzet2024-07-122024-07-122019Sakallı, İ. (2019). Mathematical beauty in black hole radiation. International Conference of Mathematical Sciences (ICMS 2019). s. 3.978-605-2124-29-1https://hdl.handle.net/20.500.12415/1907Hawking considered how quantum particles behaved close to a black hole, predicting that a black hole irradiated a form of thermal radiation, later termed Hawking radiation [1]. Although the classical black holes are asymptotically flat, especially in the presence of axion and dilaton fields, which are the dark matter and energy candidates, black holes can no longer be an asymptotically flat. The best example for this type is the rotating linear dilaton black hole (RLDBH) [2, 3]. In this study, we revisit the HR radiation problem of the RLDBH [4]. For this pupose, we consider the most advanced scalar perturbations: charged massless spin-0 fields. After separating the covariant Klein-Gordon equation into radial and angular equations, the analytical solutions of those equations are obtained in terms of the confluent Heun functions. Various physical problems are discussed with the obtained analytical solutions: resonance frequencies, quantization and greybody factor [5]. Moreover, we derive the Hawking temperature of the RLDBH by using the Damour-Ruffini-Sannan method. The mathematical beauty of black hole radiation is remarkable during all these processes.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessHawking radiationBlack holeDilatonAxionQuantizationGreybodyHeun functionsArticle33