Uniqueness of de Sitter space

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dc.creatorGalloway, Gregory J.
dc.creatorSolis, Didier A.
dc.date2007-03-27
dc.date.accessioned2026-07-07T10:37:16Z
dc.date.available2026-07-07T10:37:16Z
dc.descriptionAll inextendible null geodesics in four dimensional de Sitter space dS^4 are complete and globally achronal. This achronality is related to the fact that all observer horizons in dS^4 are eternal, i.e. extend from future infinity scri^+ all the way back to past infinity scri^-. We show that the property of having a null line (inextendible achronal null geodesic) that extends from scri^- to scri^+ characterizes dS^4 among all globally hyperbolic and asymptotically de Sitter spacetimes satisfying the vacuum Einstein equations with positive cosmological constant. This result is then further extended to allow for a class of matter models that includes perfect fluids.
dc.description22 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0703131
dc.identifierhttp://arxiv.org/abs/gr-qc/0703131
dc.identifierClass.Quant.Grav.24:3125-3138,2007
dc.identifierdoi:10.1088/0264-9381/24/11/021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180326
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleUniqueness of de Sitter space
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