f(R)理论静态球对称黑洞的精确标量准界态解决方案

IF 10.2 4区物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS

Journal of High Energy Astrophysics Pub Date : 2024-01-15 DOI:10.1016/j.jheap.2024.01.004

David Senjaya

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引用次数: 0

摘要

继 Senjaya, 2023b 和 Senjaya, 2023c 最近在黑洞准边界态精确解方面的研究进展之后，我们在这封信中提出了一种新的引力 f(R) 理论静态球对称黑洞周围标量的准边界态精确解。我们从相对论标量场波方程（即克莱因-戈登方程）入手，分离出径向方程，最后成功地得到了以一般亨函数表示的精确径向波解。有了精确解，就可以根据径向波多项式条件得到能级表达式。在这封信的最后一部分，通过达莫尔-鲁菲尼方法研究了霍金辐射，并从辐射分布函数得到了霍金温度。

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Exact scalar quasibound states solutions of f(R) theory's static spherically symmetric black hole

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 $f (R)$ 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.

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来源期刊

Journal of High Energy Astrophysics Earth and Planetary Sciences-Space and Planetary Science

CiteScore

9.70

自引率

5.30%

发文量

审稿时长

65 days

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.