{"title":"Exact scalar quasibound states solutions of f(R) theory's static spherically symmetric black hole","authors":"David Senjaya","doi":"10.1016/j.jheap.2024.01.004","DOIUrl":null,"url":null,"abstract":"<div><p>Following the recent developments in black holes' quasibound states exact solutions by <span>Senjaya, 2023b</span>, <span>Senjaya, 2023c</span><span>, in this letter, we present a novel exact solution of quasibound states of a scalar around a static spherically symmetric black hole solution of </span><span><math><mi>f</mi><mo>(</mo><mi>R</mi><mo>)</mo></math></span><span> theory of gravity. We start with the relativistic scalar field wave equation, i.e. the Klein-Gordon equation, isolating the radial equation and finally successfully obtain the exact radial wave solutions in terms of General Heun functions. Having the exact solutions in hand, the energy levels expression is obtained from the radial wave polynomial conditions. In the last part of this letter, the Hawking radiation is investigated via the Damour-Ruffini method and the Hawking temperature is obtained from radiation distribution function.</span></p></div>","PeriodicalId":54265,"journal":{"name":"Journal of High Energy Astrophysics","volume":"41 ","pages":"Pages 61-66"},"PeriodicalIF":10.2000,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Astrophysics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2214404824000041","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
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Abstract
Following the recent developments in black holes' quasibound states exact solutions by Senjaya, 2023b, Senjaya, 2023c, in this letter, we present a novel exact solution of quasibound states of a scalar around a static spherically symmetric black hole solution of theory of gravity. We start with the relativistic scalar field wave equation, i.e. the Klein-Gordon equation, isolating the radial equation and finally successfully obtain the exact radial wave solutions in terms of General Heun functions. Having the exact solutions in hand, the energy levels expression is obtained from the radial wave polynomial conditions. In the last part of this letter, the Hawking radiation is investigated via the Damour-Ruffini method and the Hawking temperature is obtained from radiation distribution function.
期刊介绍：
The journal welcomes manuscripts on theoretical models, simulations, and observations of highly energetic astrophysical objects both in our Galaxy and beyond. Among those, black holes at all scales, neutron stars, pulsars and their nebula, binaries, novae and supernovae, their remnants, active galaxies, and clusters are just a few examples. The journal will consider research across the whole electromagnetic spectrum, as well as research using various messengers, such as gravitational waves or neutrinos. Effects of high-energy phenomena on cosmology and star-formation, results from dedicated surveys expanding the knowledge of extreme environments, and astrophysical implications of dark matter are also welcomed topics.
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