Pre-Big Bang Scenario on Self-T-Dual Bouncing Branes

Abstract

We consider a new class of 5-dimensional dilatonic actions which are invariant under T-duality transformations along three compact coordinates, provided that an appropriate potential is chosen. We show that the invariance remains when we add a boundary term corresponding to a moving 3-brane, and we study the effects of the T-duality symmetry on the brane cosmological equations. We find that T-duality transformations in the bulk induce scale factor duality on the brane, together with a change of sign of the pressure of the brane cosmological matter. However, in a remarkable analogy with the Pre-Big Bang scenario, the cosmological equations are unchanged. Finally, we propose a model where the dual phases are connected through a scattering of the brane induced by an effective potential. We show how this model can realise a smooth, non-singular transition between a pre-Big Bang superinflationary Universe and a post-Big Bang accelerating Universe.

18 pages, minor typos corrected, Sec. 2 expanded with more details on the self-T-dual background, Sec.4 and 5 revised accordingly. Version to appear on JCAP

References in corpus (4)

• Brane-world gravity
• Perturbations in a non-singular bouncing Universe
• Cosmological perturbations across a curvature bounce
• Brane-worlds in T-dual Bulks

Cited by in corpus (3)

• General solution for scalar perturbations in bouncing cosmologies
• Self-T-Dual Brane Cosmology and the Cosmological Constant Problem
• Bouncing completion of eternal inflation