T-Duality and Penrose limits of spatially homogeneous and inhomogeneous cosmologies

Abstract

Penrose limits of inhomogeneous cosmologies admitting two abelian Killing vectors and their abelian T-duals are found in general. The wave profiles of the resulting plane waves are given for particular solutions. Abelian and non-abelian T-duality are used as solution generating techniques. Furthermore, it is found that unlike in the case of abelian T-duality, non-abelian T-duality and taking the Penrose limit are not commutative procedures.

16 pages, 4 figures. Discussion on non-abelian T-duality expanded

References in corpus (7)

• The Pre-Big Bang Scenario in String Cosmology
• The past attractor in inhomogeneous cosmology
• Solvable model of strings in a time-dependent plane-wave background
• Poisson-Lie T-plurality
• Strings on pp-waves and massive two dimensional field theories
• A class of exact pp-wave string models with interacting light-cone gauge actions
• A singularity-free space-time

Cited by in corpus (5)

• Penrose Limits and Spacetime Singularities
• The Universality of Penrose Limits near Space-Time Singularities
• Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle
• Power-law singularities in string theory and M-theory
• Asymptotic behaviour of curvature and matter in the Penrose limit