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Turbulence of weak gravitational waves in the early universe
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Galtier, Sébastien and Nazarenko, Sergey (2017) Turbulence of weak gravitational waves in the early universe. Physical Review Letters, 119 (22). 221101. doi:10.1103/PhysRevLett.119.221101 ISSN 0031-9007.
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Official URL: https://doi.org/10.1103/PhysRevLett.119.221101
Abstract
We study the statistical properties of an ensemble of weak gravitational waves interacting nonlinearly in a flat space-time. We show that the resonant three-wave interactions are absent and develop a theory for four-wave interactions in the reduced case of a 2.5+1 diagonal metric tensor. In this limit, where only plus-polarized gravitational waves are present, we derive the interaction Hamiltonian and consider the asymptotic regime of weak gravitational wave turbulence. Both direct and inverse cascades are found for the energy and the wave action, respectively, and the corresponding wave spectra are derived. The inverse cascade is characterized by a finite-time propagation of the metric excitations-a process similar to an explosive nonequilibrium Bose-Einstein condensation, which provides an efficient mechanism to ironing out small-scale inhomogeneities. The direct cascade leads to an accumulation of the radiation energy in the system. These processes might be important for understanding the early Universe where a background of weak nonlinear gravitational waves is expected.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QB Astronomy | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| SWORD Depositor: | Library Publications Router | ||||||
| Library of Congress Subject Headings (LCSH): | Gravitational waves, Cosmology, Turbulence, Nonlinear waves | ||||||
| Journal or Publication Title: | Physical Review Letters | ||||||
| Publisher: | American Physical Society | ||||||
| ISSN: | 0031-9007 | ||||||
| Official Date: | 28 November 2017 | ||||||
| Dates: |
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| Volume: | 119 | ||||||
| Number: | 22 | ||||||
| Article Number: | 221101 | ||||||
| DOI: | 10.1103/PhysRevLett.119.221101 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Reuse Statement (publisher, data, author rights): | ** From PubMed via Jisc Publications Router. ** History: received 17-10-2016. | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 15 January 2018 | ||||||
| Date of first compliant Open Access: | 15 January 2018 |
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