Grumiller时空中的波动方程  

Wave equation in the Grumiller spacetime

作　　者：姜敏[1] 丁浙杰 王雪婧[1] 黎忠恒[1] 

机构地区：[1]浙江工业大学理学院,杭州310023

出　　处：《中国科学：物理学、力学、天文学》2015年第7期87-92,共6页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金资助项目(批准号:11475148;11075141;11173021;11305140)

摘　　要：研究背景时空对扰动的影响,是探索黑洞特征的最好方法,其关键是求解微扰粒子的波函数.本文利用Newman-Penrose形式,研究了Grumiller时空中各种无质量自旋粒子的波动方程,得到径向和角向Teukolsky型主方程,特别是,本文将径向主方程化为Heun方程,为研究Grumiller黑洞的微扰效应奠定了基础.A good way to explore the characteristics of a black hole is to consider the influence of perturbation due to background spacetime. The key to perturbation is to solve the wave function of the test particles. The main purpose of this paper is to study the perturbations of the Glumiller black hole. The Grumiller metric includes a Rindler term, which leads to an anomalous acceleration in geodesics of test particles. We investigate the perturbation equations of the massless scalar, neutrino, electromagnetic, Rarita-Schwinger and gravitational fields propagating on this background by using Newman- Penrose formalism. We obtain the Teukolsky-type master equation governing these fields. The master equation can be separated into its angular and radial parts. The former is the equation of a spin-weighted spherical harmonic, and the latter is an Heun＇s equation in disguise, for which we are able to use a known technique to analyze solutions. As examples, the radial wave function near the event horizon is given. All these results are the foundation for the study of perturbation effect of the Grnmiller black hole.

关 键 词：自旋粒子 Grumiller时空 Heun方程 

分 类 号：P145.8[天文地球—天体物理]