Post-Newtonian gravitational bremsstrahlung

Details Post-Newtonian gravitational bremsstrahlung Post-Newtonian gravitational bremsstrahlung

Mar 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...220.1107t&link_type=abstract

Astrophysical Journal, Part 1, vol. 220, Mar. 15, 1978, p. 1107-1124.

Astronomy and Astrophysics

Astrophysics

14

Bremsstrahlung, Gravitational Waves, Particle Motion, Relativity, Angular Distribution, Energy Distribution, Error Analysis, Relativistic Particles, Tensor Analysis, Waveforms

Scientific paper

Formulas and numerical results for the gravitational radiation emitted during a low-deflection encounter between two massive bodies are presented. The results are valid through post-Newtonian order within general relativity. The gravitational waveform (transverse-traceless part of the metric perturbation tensor), the total luminosity and total emitted energy, the angular distribution of emitted energy (antenna pattern), and the frequency spectrum are discussed. A method of boosting the accuracy of these quantities to post-3/2-Newtonian order is presented. A numerical comparison of the results with previously reported results shows that the post-Newtonian method is reliable to better than 0.1% at v = 0.1c, to a few percent at v = 0.35c, and to 10-20% at v = 0.5c.

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