Minimal Coupling and Attractors

Abstract

The effects of minimally coupling a gravity to matter on a flat Robertson-Walker geometry are explored. Particular attention is paid to the evolution of the symplectic structure and the Liouville measure it defines. We show that the rescaling freedom introduced by choice of fiducial cell leads to a symmetry between dynamical trajectories, which together with the Liouville measure provides a natural volume weighting explanation for the generic existence of attractors.

11 pages

References in corpus (10)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• The Measure Problem in Cosmology
• Loop Quantum Cosmology: An Overview
• Measure and Probability in Cosmology
• Towards a gauge invariant volume-weighted probability measure for eternal inflation
• On the measure problem in slow roll inflation and loop quantum cosmology
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• Volume Weighting in the No Boundary Proposal
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Cited by in corpus (11)

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• Designing and testing inflationary models with Bayesian networks
• Entropy and the Typicality of Universes
• Brans--Dicke cosmology does not have the $\Lambda$CDM phase as an universal attractor
• T-Model Inflation and Bouncing Cosmology
• Polymer inflation
• Pure shape dynamics: General framework
• Herglotz Action for Homogeneous Cosmology
• Volume Weighting the Measure of the Universe from Classical Slow-Roll Expansion
• The Large Number Limit of Multifield Inflation
• Measures in Mutlifield Inflation