Point Particle Binary System with Components of Different Masses in the Linear Regime of the Characteristic Formulation of General Relativity

Abstract

A study of binary systems composed of two point particles with different masses in the linear regime of the characteristic formulation of general relativity in a Minkowski background is provided. The present paper generalizes a previous study find in the literature. The boundary conditions at the world tubes generated by the particle's orbits are explored, when the metric variables are decomposed in spin-weighted spherical harmonics. The power lost by the emission of gravitational waves is computed using the News Bondi's functions. The power found is nothing but the well-known result for the power obtained by Peters and Mathews in a different approach. This agreement shows the consistency of the approach considered here. The contribution to the gravitational radiation of several multipole terms is also shown.

16 pages, 3 figures

References in corpus (4)

• Comparing Gravitational Waveform Extrapolation to Cauchy-Characteristic Extraction in Binary Black Hole Simulations
• Numerical relativity with characteristic evolution, using six angular patches
• A framework for large-scale relativistic simulations in the characteristic approach
• On characteristic initial data for a star orbiting a black hole

Cited by in corpus (2)

• Characteristic Formulation for Metric $f(R)$ Gravity
• On the Linear Regime of the Characteristic formulation of General relativity in the Minkowski and Schwarzschild's Backgrounds