Approximate representation of the de Sitter group. (English) Zbl 1117.83127

Ibragimov, Nail H.

J. Math. Anal. Appl. 333, No. 1, 329-346 (2007).

Summary: The purpose of this paper is to develop a theory of approximate representations of the de Sitter group considered as a perturbation of the Poincaré group. This approach simplifies investigation of relativistic effects pertaining to the mechanics in the de Sitter universe. Utility of the approximate approach is manifest if one compares the transformations of the de Sitter group with their approximate representations.

MSC:

83F05	Relativistic cosmology
53Z05	Applications of differential geometry to physics

Keywords:

de Sitter universe; de Sitter group; approximate representation

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