变形克尔时空中具有各种自旋的类图克尔斯基方程

IF 5.3 2区物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS

Journal of Cosmology and Astroparticle Physics Pub Date : 2025-04-22 DOI:10.1088/1475-7516/2025/04/063

Hiroaki Nakajima, Ya Guo, Wenbin Lin

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引用次数: 0

摘要

我们在先前研究引力波方程的克尔度规的径向坐标函数变形的背景下，研究了具有各种自旋的波动方程。我们得到了具有不同自旋的类teukolsky主方程和相应的径向方程的统一表达式。我们发现采用先前研究中引入的可分离规范简化了统一形式。我们还讨论了径向方程作为常微分方程的结构，例如方程的正则和不规则奇点的存在性以及每个奇点周围解的行为。

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Teukolsky-like equations with various spins in a deformed Kerr spacetime

We study the wave equations with the various spins on the background of the Kerr metric deformed by a function of the radial coordinate, on which we have studied the gravitational-wave equations previously. We obtain the unified expression of the Teukolsky-like master equations and the corresponding radial equations with various spins. We find that taking the separable gauge introduced in previous study simplifies the unified form. We also discuss the structure of the radial equation as an ordinary differential equation, such as the existence of the regular and the irregular singularities of the equation and the behavior of the solution around each singularity.

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来源期刊

Journal of Cosmology and Astroparticle Physics 地学天文-天文与天体物理

CiteScore

10.20

自引率

23.40%

发文量

632

审稿时长

1 months

期刊介绍： Journal of Cosmology and Astroparticle Physics (JCAP) encompasses theoretical, observational and experimental areas as well as computation and simulation. The journal covers the latest developments in the theory of all fundamental interactions and their cosmological implications (e.g. M-theory and cosmology, brane cosmology). JCAP''s coverage also includes topics such as formation, dynamics and clustering of galaxies, pre-galactic star formation, x-ray astronomy, radio astronomy, gravitational lensing, active galactic nuclei, intergalactic and interstellar matter.