Waves on accelerating dodecahedral universes
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BACHELOT-MOTET, Agnes | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BACHELOT, Alain | |
| dc.date.issued | 2017-03-09 | |
| dc.identifier.issn | 0264-9381 | |
| dc.description.abstractEn | We investigate the wave propagation on a compact 3-manifold of constant positive curvature with a non trivial topology, the Poincar\'e dodecahedral space, when the scale factor is exponentially increasing. We prove the existence of a limit state as t tends to infinity and we get its analytic expression. The deep sky is described by this asymptotic profile thanks to the Sachs-Wolfe formula. We transform the Cauchy problem into a mixed problem posed on a fundamental domain determined by the quaternionic calculus. We perform an accurate scheme of computation: we employ a variational method using a space of second order finite elements that is invariant under the action of the binary icosahedral group. | |
| dc.description.sponsorship | Analyse Asymptotique en Relativité Générale - ANR-12-BS01-0012 | |
| dc.language.iso | en | |
| dc.publisher | IOP Publishing | |
| dc.title.en | Waves on accelerating dodecahedral universes | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1088/1361-6382/aa5db8 | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 1609.00806 | |
| bordeaux.journal | Classical and Quantum Gravity | |
| bordeaux.page | 235010 | |
| bordeaux.volume | 34 | |
| bordeaux.issue | 5 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01444132 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01444132v1 | |
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