Duality Invariance of Cosmological Solutions with Torsion

Abstract

We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the $O(d)\otimes O(d)$ transformation on the vacuum solutions gives inequivalent solutions that are not maximally symmetric. We then show that the usual physical meaning of maximal symmetry can be made to remain unaltered even if torsion is present and illustrate this through two toy models by determining the torsion fields, the metric and Killing vectors. Finally we show that under the $O(d)\otimes O(d)$ transformation this generalised maximal symmetry can be preserved under certain conditions. This is interesting in the context of string related cosmological backgrounds.

Latex, 22 pages, references added, section IV enlarged and rewritten and two toy models described with explicit solutions. To appear in Int.Jour.Mod.Phys.A

References in corpus (5)

• Cosmological Solutions of Higher-Curvature String Effective Theories with Dilatons
• Constant magnetic field in closed string theory: an exactly solvable model
• Hamiltonian Structure of a Friedmann-Robertson-Walker Universe with Torsion
• The Meaning of Maximal Symmetry in Presence of Torsion
• Construction of Maximally Symmetric Solutions for the Metric

Cited by in corpus (1)

• Constraining Torsion in Maximally symmetric (sub)spaces