The Gravitational Radiation Emitted by a System Consisting of a Point Particle in Close Orbit around a Schwarzschild Black Hole
The Gravitational Radiation Emitted by a System Consisting of a Point Particle in Close Orbit around a Schwarzschild Black Hole作者机构：Department of Mathematical Sciences University of South Africa Pretoria South Africa
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2012年第3卷第10期
页 面：1503-1515页
主 题：Null Formalism Gravitational Radiation Schwarzschild Black Hole PN Formalism Delta Function Point Particle Bondi Mass
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.
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