Torsion Dilaton and Novel Minimal Coupling Principle
Abstract
Description
We propose a novel self consistent minimal coupling principle in presence of torsion dilaton field. This principle yields a new local dilatation symmetry and predicts the interactions of torsion dilaton with the real matter and with metric. The soft violation of this symmetry yields a physical dilaton and a simple relation between Cartan scalar curvature and cosmological constant in this new model of gravity with propagating torsion. Its relation with scalar-tensor theories of gravity and a possible use of torsion dilaton in the inflation scenario is discussed.
\noindent{PACS number(s): 04.50.+h, 04.40.Nr, 04.62.+v}
10 pages, revtex, no figures. The discovered misprints are corrected, new references, acknowledgments, and Appendix are added. Substantial changes in formulas and results are made in sections 4 and 5 where a new cosmological potential for torsion dilaton is introduced. In addition the relation of our model of gravity with propagating torsion with scalar-tensor theories of gravity and a possible use of torsion dilaton in the inflation scenario are discussed
10 pages, revtex, no figures. The discovered misprints are corrected, new references, acknowledgments, and Appendix are added. Substantial changes in formulas and results are made in sections 4 and 5 where a new cosmological potential for torsion dilaton is introduced. In addition the relation of our model of gravity with propagating torsion with scalar-tensor theories of gravity and a possible use of torsion dilaton in the inflation scenario are discussed