Cosmological evolution in R^2 gravity

Abstract

The Universe evolution during the radiation-dominated epoch in the R^2-extended gravity theory is considered. The equations of motion for R and H are solved analytically and numerically. The particle production rate by the oscillating curvature is calculated in one-loop approximation and the back reaction of particle production on the evolution of R is taken into account. Possible implications of the model for cosmological creation of non-thermal dark matter is discussed.

22 pages, 7 figures. Several references and criticism added. As published in JCAP

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• Scalar Field Theory Description of the Running Vacuum Model: the Vacuumon
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• Gravitational instability in oscillating background
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• Scalaron Decay in Perturbative Quantum Gravity
• No Cosmic Rays from Curvature Oscillations during Structure Formation with $F(R)$-gravity
• Cosmic ray production in modified gravity
• The Universe according to DESI results
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• Spacetime Instability and Quantum Gravity as Low Energy Effective Field Theory