De Sitter Special Relativity: Effects on cosmology

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

The main consequences of de Sitter Special Relativity for the Standard Model of physical cosmology are examined. The cosmological constant I > appears, in this theory, as a manifestation of the proper conformal current which must be added to the usual energy-momentum density when the Poincar, kinematics of special relativity is replaced by a de Sitter kinematics. Since that conformal current itself vanishes in the absence of sources, I > is ultimately dependent on the matter content and can in principle be calculated. A present-day value very close to that given by the crossed supernova/BBR data is obtained through simple and reasonable assumptions. Also, a primeval inflation of polynomial type is found, and the usual notion of a comoving observer is shown to be slightly modified.