Post-Newtonian gravitational bremsstrahlung.
Abstract
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.
- 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