Kinematics of a Spacetime with an Infinite Cosmological Constant

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dc.creatorAldrovandi, R.
dc.creatorBarbosa, A. L.
dc.creatorCalcada, M.
dc.creatorPereira, J. G.
dc.date2001-05-18
dc.date2002-12-02
dc.date.accessioned2026-07-07T03:25:54Z
dc.date.available2026-07-07T03:25:54Z
dc.descriptionA solution of the sourceless Einstein's equation with an infinite value for the cosmological constant Λis discussed by using Inonu-Wigner contractions of the de Sitter groups and spaces. When Λ--> infinity, spacetime becomes a four-dimensional cone, dual to Minkowski space by a spacetime inversion. This inversion relates the four-cone vertex to the infinity of Minkowski space, and the four-cone infinity to the Minkowski light-cone. The non-relativistic limit c --> infinity is further considered, the kinematical group in this case being a modified Galilei group in which the space and time translations are replaced by the non-relativistic limits of the corresponding proper conformal transformations. This group presents the same abstract Lie algebra as the Galilei group and can be named the conformal Galilei group. The results may be of interest to the early Universe Cosmology.
dc.descriptionRevTex, 7 pages, no figures. Presentation changes, including a new Title. Version to appear in Found. Phys. Lett
dc.identifierhttps://arxiv.org/abs/gr-qc/0105068
dc.identifierhttp://arxiv.org/abs/gr-qc/0105068
dc.identifierFound.Phys. 33 (2003) 613-624
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33895
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleKinematics of a Spacetime with an Infinite Cosmological Constant
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