A Second Poincare Group
Abstract
Solutions of the sourceless Einstein's equation with weak and strong cosmological constants are discussed by using InonuWigner contractions of the de Sitter groups and spaces. The more usual case corresponds to a weak cosmologicalconstant limit, in which the de Sitter groups are contracted to the Poincare group, and the de Sitter spaces are reduced to the Minkowski space. In the strong cosmologicalconstant limit, however, the de Sitter groups are contracted to another group which has the same abstract Lie algebra of the Poincare group. The de Sitter spaces are reduced to a 4dimensional conespace with vanishing Riemann and Ricci curvature tensors, but with an infinite scalar curvature. In such a space, the special conformal transformations act transitively, and the equivalence between inertial frames is that given by special relativity.
 Publication:

19th Texas Symposium on Relativistic Astrophysics and Cosmology
 Pub Date:
 December 1998
 arXiv:
 arXiv:grqc/9809061
 Bibcode:
 1998tx19.confE.123A
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 RevTeX, 7 pages, no figures, contribution to "Topics in Theoretical Physics II: Festschrift for A. H. Zimerman"