Kinematics of a spacetime with an infinite cosmological constant
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Data
2003-04-01
Autores
Aldrovandi, R.
Barbosa, A. L.
Calcada, M.
Pereira, J. G.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Kluwer Academic/plenum Publ
Resumo
A solution of the sourceless Einstein's equation with an infinite value for the cosmological constant L is discussed by using Inonu-Wigner contractions of the de Sitter groups and spaces. When Lambda --> 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.
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Palavras-chave
kinematical group, cosmological constant, cosmology
Como citar
Foundations of Physics. New York: Kluwer Academic/plenum Publ, v. 33, n. 4, p. 613-624, 2003.