Spin field equations and Heun's equations

被引：4

作者：

Jiang, Min ^{[1
]}

Wang, Xuejing ^{[1
]}

Li, Zhongheng ^{[1
]}

机构：

[1] Zhejiang Univ Technol, Dept Phys, Hangzhou 310023, Zhejiang, Peoples R China

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2015年 / 357卷 / 02期

关键词：

Black holes; Spin fields; Heun's equation; KERR-DE-SITTER; GENERAL-RELATIVITY; BLACK-HOLES; PERTURBATIONS; BACKGROUNDS; HARMONICS; STABILITY;

D O I：

10.1007/s10509-015-2370-z

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Kerr-Newman-(anti) de Sitter metric is the most general stationary black hole solution to the Einstein-Maxwell equation with a cosmological constant. We study the separability of the equations of the massless scalar (spin s = 0), neutrino (s = 1/2), electromagnetic (s = 1), Rarita-Schwinger (s = 3/2), and gravitational (s = 2) fields propagating on this background. We obtain the angular and radial master equations, and show that the master equations are transformed to Heun's equation. Meanwhile, we give the condition of existence of event horizons for Kerr-Newman-(anti) de Sitter spacetime by using Sturm theorem.

引用

页数：5

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