Conformal boundary extensions of Lorentzian manifolds

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dc.creatorChruściel, Piotr T.
dc.date2006-06-23
dc.date.accessioned2026-07-07T07:13:12Z
dc.date.available2026-07-07T07:13:12Z
dc.descriptionWe study the question of local and global uniqueness of completions, based on null geodesics, of Lorentzian manifolds. We show local uniqueness of such boundary extensions. We give a necessary and sufficient condition for existence of unique maximal completions. The condition is verified in several situations of interest. This leads to existence and uniqueness of maximal spacelike conformal boundaries, of maximal strongly causal boundaries, as well as uniqueness of conformal boundary extensions for asymptotically simple space-times. Examples of applications include the definition of mass, or the classification of inequivalent extensions across a Cauchy horizon of the Taub space-time.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0606101
dc.identifierhttp://arxiv.org/abs/gr-qc/0606101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112368
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleConformal boundary extensions of Lorentzian manifolds
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