Scale Factor Duality and the Energy Condition Inequalities

Abstract

We demonstrate, by a simple analysis, that cosmological line elements related by scale factor duality also exhibit a duality with respect to the conservation/violation of the Weak Energy Condition (WEC) by the matter that acts as the source in the one-loop beta function equations for the metric coupling written explicitly in the form of the Einstein equations. Furthermore, a study of specific pairs of line elements (obtained via O(d,d) transformations) hints at a possible generalisation of the above duality w.r.t. WEC for the case of O(d,d) related spacetimes. Consequences and extensions thereof are also pointed out.

16 pages, RevTex, no figures

References in corpus (12)

• Evanescent Black Holes
• Singularity-free cosmological solutions of the superstring effective action
• The Graceful Exit Problem in String Cosmology
• Twisting Classical Solutions in Heterotic String Theory
• Manifestly $O(d,d)$ Invariant Approach to Space-Time Dependent String Vacua
• Tree-level String Cosmology
• Twisted Black p-Brane Solutions in String Theory
• Back Reaction and Graceful Exit in String Inflationary Cosmology
• Gravity-Driven Acceleration of the Cosmic Expansion
• An Algorithm to Generate Classical Solutions for String Effective Action
• String Effective Action and Two Dimensional Charged Black Hole
• Timelike Duality

Cited by in corpus (4)

• Singularity-free cosmological solutions in quadratic gravity
• Naked singularities in low energy, effective string theory
• Numerical Study of Inhomogeneous Pre-Big-Bang Inflationary Cosmology
• O(d,d)-invariance in inhomogeneous string cosmologies with perfect fluid