Flat Spacetimes with Compact Hyperbolic Cauchy Surfaces

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dc.creatorBonsante, Francesco
dc.date2003-11-03
dc.date.accessioned2026-07-07T05:02:26Z
dc.date.available2026-07-07T05:02:26Z
dc.descriptionIn this paper we study the flat (n+1)-spacetimes admitting a Cauchy surface diffeomorphic to a compact hyperbolic n-manifold. We show how to construct a canonical future complete one among all such spacetimes sharing the same holonomy. We study the geometry of such a spacetime in terms of its canonical cosmological time. In particular we study the asymptotic behaviour of the level surfaces of the cosmological time. The present work generalizes the case n=2 treated by Mess, taking from a work of Benedetti and Guadagnini the emphasis on the fundamental role played by the canonical cosmological time.
dc.description59 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0311019
dc.identifierhttp://arxiv.org/abs/math/0311019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69053
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C50 (primary) 83C99 57M50 (secondary)
dc.titleFlat Spacetimes with Compact Hyperbolic Cauchy Surfaces
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