PostNewtonian gravitational bremsstrahlung.
Abstract
Formulas and numerical results for the gravitational radiation emitted during a lowdeflection encounter between two massive bodies are presented. The results are valid through postNewtonian order within general relativity. The gravitational waveform (transversetraceless 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 post3/2Newtonian order is presented. A numerical comparison of the results with previously reported results shows that the postNewtonian method is reliable to better than 0.1% at v = 0.1c, to a few percent at v = 0.35c, and to 1020% at v = 0.5c.
 Publication:

The Astrophysical Journal
 Pub Date:
 March 1978
 DOI:
 10.1086/155996
 Bibcode:
 1978ApJ...220.1107T
 Keywords:

 Bremsstrahlung;
 Gravitational Waves;
 Particle Motion;
 Relativity;
 Angular Distribution;
 Energy Distribution;
 Error Analysis;
 Relativistic Particles;
 Tensor Analysis;
 Waveforms;
 Astrophysics;
 Gravitation:Relativity;
 Gravitational Radiation: Massive Bodies