Cyclic cosmology in modified gravity

Abstract

In this work we propose a new general model of eternal cyclic Universe. We start from the assumption that quantum gravity corrections can be effectively accounted by the addition of higher order curvature terms in the Lagrangian density for gravity. It is also taken into account that coefficients associated with these curvature corrections will in general be dependent on a curvature regime. We therewith assume no new ingredients, such as extra dimensions, new scalar fields, phantom energy or special space-time geometries. Evolution of the Universe in this framework is studied and general properties of each phase of the cycle - cosmological bounce, low curvature ($\Lambda$CDM) phase, destruction of bounded systems and contracting phase - are analysed in detail. Focusing on some simple special cases, we obtain analytical and numerical solutions for the each phase confirming our analysis.

arXiv comment33 pages, 11 figures

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• Exact solutions, finite time singularities and non-singular universe models from a variety of $\Lambda (t)$ cosmologies
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• Note on bouncing backgrounds
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• Geodesically complete cyclic cosmologies and entropy
• Qualitative analysis of a quasi-magnetic universe
• Crunching, Bouncing, and Cyclical Cosmologies from Dark Sector Interactions