Mathematical beauty in black hole radiation

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dc.authorid0000-0001-7827-9476en_US
dc.contributor.authorSakallı, İzzet
dc.date.accessioned2024-07-12T20:46:46Z
dc.date.available2024-07-12T20:46:46Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractHawking 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.en_US
dc.identifier.citationSakallı, İ. (2019). Mathematical beauty in black hole radiation. International Conference of Mathematical Sciences (ICMS 2019). s. 3.en_US
dc.identifier.endpage3en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage3en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1907
dc.institutionauthorSakallı, İzzet
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01491
dc.subjectHawking radiationen_US
dc.subjectBlack holeen_US
dc.subjectDilatonen_US
dc.subjectAxionen_US
dc.subjectQuantizationen_US
dc.subjectGreybodyen_US
dc.subjectHeun functionsen_US
dc.titleMathematical beauty in black hole radiationen_US
dc.typeArticle
dspace.entity.typePublication

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