Conformal Transformations and Accelerated Cosmologies

Abstract

A cosmological theory that predicts a late-time accelerated attractor with a constant dark matter to dark energy ratio can be said to solve the Coincidence Problem. Such cosmologies are naturally generated in the context of non-standard gravity theories under conformal transformation because of the resulting couplings between scalar fields and matter. The present work examines four classes of these transformed theories and finds that only a small subset--those with a single scalar field--are capable of solving the Coincidence Problem.

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References in corpus (3)

• Stationary dark energy: the present universe as a global attractor
• Quintessence, super-quintessence and observable quantities in Brans-Dicke and non-minimally coupled theories
• Stationary dark energy with a baryon-dominated era: solving the coincidence problem with a linear coupling

Cited by in corpus (6)

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• Exact cosmological solutions with nonminimal derivative coupling
• The conformal status of $\omega =-3/2$ Brans-Dicke cosmology
• Hawking-Hayward quasi-local energy under conformal transformations
• Cosmological models in scalar tensor theories of gravity and observations: a class of general solutions
• Consistency of equations of motion in conformal frames