Scalar's quasibound states in cosmological black hole background

IF 10.2 4区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS
David Senjaya
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引用次数: 0

Abstract

In this letter, we present in detail a novel exact solution of scalar quasibound states of a static spherically symmetric Schwarzschild de Sitter black hole. We investigate and work out the governing covariant scalar field wave equation, i.e., the Klein-Gordon equation and isolate the radial equation. In this letter, we show in detail, the derivation of the successfully obtained exact radial wave solutions which are expressed in terms of General Heun functions. Having the exact solutions in hand, the energy levels expression is obtained from special function's polynomial condition. In the last part, the Hawking radiation is investigated via the Damour-Ruffini method and the Hawking temperature is obtained from radiation distribution function.

宇宙学黑洞背景中的标量准约束态
在这封信中,我们详细介绍了静态球对称施瓦兹柴尔德-德-西特黑洞标量准约束态的一种新的精确解。我们研究并计算了支配协变标量场波方程,即克莱因-戈登方程,并分离出径向方程。在这封信中,我们详细展示了成功获得的精确径向波解的推导过程,这些解是用一般亨函数表示的。有了精确解,就可以根据特殊函数的多项式条件得到能级表达式。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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来源期刊
Journal of High Energy Astrophysics
Journal of High Energy Astrophysics Earth and Planetary Sciences-Space and Planetary Science
CiteScore
9.70
自引率
5.30%
发文量
38
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.
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