电磁场作用下五维螺旋面解中带电标量场的解

IF 2.1 4区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS General Relativity and Gravitation Pub Date : 2023-07-27 DOI:10.1007/s10714-023-03134-3
Tolga Birkandan
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引用次数: 0

摘要

本文研究了在Nutku- ghezelbash - kumar度规背景下的带电质量标量场,该度规是通过在Nutku螺旋度规上以非平凡的方式添加一个时间坐标得到的。Klein-Gordon方程的角部可以写成双合流Heun方程。径向方程不能用一般形式的已知函数来求解。然而,在某些特殊情况下,径向方程也可以显式地写成双合流Heun方程。对全径向方程进行了数值研究,发现电磁场参数在径向坐标范围上定义了一个有效的截止点。最后,我们得到了一个近似的拟精确解。
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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Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field

We study a charged and massive scalar field in the background of the Nutku-Ghezelbash-Kumar metric which is obtained by the addition of a time coordinate to the Nutku helicoid metric in a non-trivial way. The angular part of the Klein-Gordon equation can be written as a double confluent Heun equation. The radial equation cannot be solved in terms of a known function in its general form. However, in some special cases, the radial equation can also be written explicitly as a double confluent Heun equation. We study the full radial equation numerically and observe that the electromagnetic field parameter defines an effective cut-off on the range of the radial coordinate. Finally, we obtain a quasi-exact solution with an approximation.

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来源期刊
General Relativity and Gravitation
General Relativity and Gravitation 物理-天文与天体物理
CiteScore
4.60
自引率
3.60%
发文量
136
审稿时长
3 months
期刊介绍: General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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