Scale Factor Duality and the Energy Condition Inequalities

Details Scale Factor Duality and the Energy Condition Inequalities Scale Factor Duality and the Energy Condition Inequalities

1996-11-17

arxiv.org/abs/hep-th/9611122v1

Phys.Lett. B401 (1997) 234-240

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, RevTex, no figures

Scientific paper

10.1016/S0370-2693(97)00402-4

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.

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