1998/01/31 by Debashis Gangopadhyay, Soumitra SenGupta, Soumitra Sengupta · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1142/s0217751x99002347
published as Int.J.Mod.Phys. A14 (1999) 4953-4966 · 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
arxiv created 1999/09/24 · openalex publication_date 1999/12/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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) ⊗ 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) ⊗ O(d) transformation this generalized maximal symmetry can be preserved under certain conditions. This is interesting in the context of string related cosmological backgrounds.