Bouncing cosmology in $f(R,\mathcal{G})$ gravity by order reduction

Abstract

A bouncing universe is a viable candidate to solve the initial singularity problem. Here we consider bouncing solutions in the context of $f(R,\mathcal{G})$ gravity by using an order reduction technique which allows one to find solutions that are perturbatively close to General Relativity. This procedure also acts as a model selection approach. Indeed, several covariant gravitational actions leading to a bounce are directly selected by demanding that the Friedmann equation derived within such gravity theories coincides with the one emerging from Loop Quantum Cosmology.

arXiv commentv1: 7 pages; v2: 8 pages. Matches published version in Annals of Physics

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Cited by in corpus (12)

• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• A non-singular bouncing cosmology in $f(R,T)$ gravity
• Exact Solutions in Higher-Dimensional Lovelock and $Ad{S}_5$ Chern-Simons Gravity
• Bouncing cosmologies and stability analysis in symmetric teleparallel $f(Q)$ gravity
• Effective $f(R)$ actions for modified Loop Quantum Cosmologies via order reduction
• Effective Actions for Loop Quantum Cosmology in Fourth-Order Gravity
• The Fate of the Universe Evolution in the Quadratic Form of Ricci-Gauss-Bonnet Cosmology
• Bouncing Cosmology in Fourth-Order Gravity
• Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
• Covariant single-field formulation of effective cosmological bounces
• Bouncing cosmologies from Born-Infeld-type gravity