Exact Solutions for the Scalar Field in the Gravitational Field of Spherically Symmetric Black Holes

IF 0.5 4区物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS

Physics of Particles and Nuclei Pub Date : 2025-05-20 DOI:10.1134/S1063779624701351

S. I. Keizerov, E. R. Rakhmetov, M. N. Smolyakov, I. P. Volobuev

引用次数: 0

Abstract

The problem of finding solutions to the Klein–Gordon equation for a free massive real scalar field in the spacetime of spherically symmetric black holes is considered. It is shown that the radial part of this equation can be reduced to the form of a confluent Heun equation. Physically adequate solutions to this equation expressed through confluent Heun functions are found and their normalizations are calculated. A doubling, compared to the case of the Minkowski space, of the number of physically adequate solutions with energy greater than that of the particle mass has been observed.

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球对称黑洞引力场中标量场的精确解

研究了球对称黑洞时空中自由大质量实标量场的Klein-Gordon方程的求解问题。结果表明，该方程的径向部分可以简化为合流Heun方程的形式。找到了用合流Heun函数表示的该方程的物理充分解，并计算了它们的归一化。与闵可夫斯基空间的情况相比，已经观察到能量大于粒子质量的物理上适当的解的数量增加了一倍。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physics of Particles and Nuclei 物理-物理：粒子与场物理

CiteScore

1.00

自引率

0.00%

发文量

116

审稿时长

6-12 weeks

期刊介绍： The journal Fizika Elementarnykh Chastits i Atomnogo Yadr of the Joint Institute for Nuclear Research (JINR, Dubna) was founded by Academician N.N. Bogolyubov in August 1969. The Editors-in-chief of the journal were Academician N.N. Bogolyubov (1970–1992) and Academician A.M. Baldin (1992–2001). Its English translation, Physics of Particles and Nuclei, appears simultaneously with the original Russian-language edition. Published by leading physicists from the JINR member states, as well as by scientists from other countries, review articles in this journal examine problems of elementary particle physics, nuclear physics, condensed matter physics, experimental data processing, accelerators and related instrumentation ecology and radiology.