de Sitter special relativity
Abstract
A special relativity based on the de Sitter group is introduced, which is a theory that might hold up in the presence of a nonvanishing cosmological constant. Like ordinary special relativity, it retains the quotient character of spacetime, and a notion of homogeneity. As a consequence, the underlying spacetime will be a de Sitter spacetime, whose associated kinematics will differ from that of ordinary special relativity. The corresponding modified notions of energy and momentum are obtained, and the exact relationship between them, which is invariant under a rescaling of the involved quantities, explicitly exhibited. Since the de Sitter group can be considered a particular deformation of the Poincaré group, this theory turns out to be a specific kind of deformed (or doubly) special relativity. Some experimental consequences, as well as the causal structure of spacetime—modified by the presence of the de Sitter horizon—are briefly discussed.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 March 2007
 DOI:
 10.1088/02649381/24/6/002
 arXiv:
 arXiv:grqc/0606122
 Bibcode:
 2007CQGra..24.1385A
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 V2: Some presentation changes