Gravitational radiation from a particle in bound orbit around a black hole; relativistic correction

Abstract

Gravitational radiation from a system of two body, one as test particle and other as black hole (we assume, m1 is mass of the test particle and m2 is mass of black hole in bound orbits (orbital eccentricities e < 1) and E2 < 1; E is the energy, is calculated with relativistic correction using the method of inertia tensor and multipole formalism. Plots of power versus eccentricity of the bound orbit of first kind are presented, and average total power radiated as a function of eccentricity is plotted according to inertia tensor method. According to multipole formalism the power radiated in gravitational waves from an bound orbit is given by enhancement factor g(n,e) times the function of other parameters is plotted. The calculations apply for arbitrary eccentricity of the relative orbit, assuming orbital velocities are small.

Publication
In Journal of Physics Conference Series