Gravitational collapse of a polytropic distribution of matter out of the spherical...
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Inst Nacl Pesquisas Espaciais, Av Astronautas 1758, BR-12227010 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | GENERAL RELATIVITY AND GRAVITATION; v. 48, n. 4 APR 2016. |
| Web of Science Citations: | 1 |
| Abstract | |
We study a binary system composed of point particles of unequal masses in eccentric orbits in the linear regime of the characteristic formulation of general relativity, generalising a previous study found in the literature in which a system of equal masses in circular orbits is considered. We also show that the boundary conditions on the time-like world tubes generated by the orbits of the particles can be extended beyond circular orbits. Concerning the power lost by the emission of gravitational waves, it is directly obtained from the Bondi's News function. It is worth stressing that our results are completely consistent, because we obtain the same result for the power derived by Peters and Mathews, in a different approach, in their seminal paper of 1963. In addition, the present study constitutes a powerful tool to construct extraction schemes in the characteristic formalism to obtain the gravitational radiation produced by binary systems during the inspiralling phase. (AU) | |
| FAPESP's process: | 13/11990-1 - Gravitational collapse of a polytropic distribution of matter out of the spherical symmetry in the null characteristic formulation of general relativity |
| Grantee: | Jose Carlos Neves de Araujo |
| Support Opportunities: | Regular Research Grants |