The Gravitational Radiation Emitted by a System Consisting of a Point Particle in Close Orbit around a Schwarzschild Black Hole

• 作者: Amos S. Kubeka
• 来源期刊: 现代物理(英文)
• 学科: 地球科学
• 关键词: NULL FORMALISM GRAVITATIONAL Radiation SCHWARZSCHILD Black Hole PN FORMALISM Delta Function POINT PARTICLE Bondi Mass
• 年，卷（期）: 2012,（10）
• 页码范围: 1503-1515
• 页数: 13页
• 分类号: P1

摘要

We analytically model a relativistic problem consisting of a point-particle with mass m in close orbit around a stationary Schwarzschild black hole with mass M = 1 using the null-cone formalism when l = 2. We use the -function to model the matter density of the particle. To model the whole problem, we apply the second order differential equation obtained elsewhere for a dynamic thin matter shell around a Schwarzschild black hole. The only thing that changes on the equation is the quasi-normal mode parameter which now represent the orbital frequency of the particle. We compare our results with that of the standard 5.5 PN formalism and found that there is a direct proportionality factor that relates the two results, i.e. the two formalisms.