Self-consistent solutions for low-frequency gravitational background radiation
| dc.creator | Dautcourt, G. | |
| dc.date | 1997-12-09 | |
| dc.date.accessioned | 2026-07-07T03:32:05Z | |
| dc.date.available | 2026-07-07T03:32:05Z | |
| dc.description | We study in a Brill-Hartle type of approximation the back-reaction of a superposition of linear gravitational waves in an Einstein-de Sitter background up to the second order in the small wave amplitudes $h_{ik}$. The wave amplitudes are assumed to form a homogeneous and isotropic stochastic process. No restriction for the wavelengths is assumed. The effective stress-energy tensor $T^{e}_{μν}$ is calculated in terms of the correlation functions of the process. We discuss in particular a situation where $T^{e}_{μν}$ is the dominant excitation of the background metric. Apart from the Tolman radiation universe, a solution with the scale factor of the de Sitter universe exists with $p = -ρ$ as effective equation of state. | |
| dc.description | 3 pages, Latex (requires mprocl.sty). To appear in the Proceedings of the Eighth Marcel Grossmann meeting (Jerusalem, June 22-27, 1977) | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9712042 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9712042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36099 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Self-consistent solutions for low-frequency gravitational background radiation | |
| dc.type | text |