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Waves on accelerating dodecahedral universes

Waves on accelerating dodecahedral universes

We investigate the wave propagation on a compact 3-manifold of constant positive curvature with a non trivial topology, the Poincaré dodecahedral space, if the scale factor is exponentially increasing.We prove the existence of a limit state as t → +∞ and we get its analytic expression.The deep sky is described …