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arXiv · 1503.07731

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

C. E. Cedeño M.·J. C. N. de Araujo
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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.

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C. E. Cedeño M., J. C. N. de Araujo. 2015-03-26. Point Particle Binary System with Components of Different Masses in the Linear Regime of the Characteristic Formulation of General Relativity. https://doi.org/10.1088/0264-9381/33/10/105010

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