Waves on accelerating dodecahedral universes
Idioma
en
Article de revue
Este ítem está publicado en
Classical and Quantum Gravity. 2017-03-09, vol. 34, n° 5, p. 235010
IOP Publishing
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Proyecto ANR
Analyse Asymptotique en Relativité Générale - ANR-12-BS01-0012
Orígen
Importado de HalCentros de investigación