Stability of Hyperbolic and Matter-Dominated Bounce Cosmologies From F(R,G) Modified Gravity at Late Evolution Stages

Abstract

The stability of two different bounce scenarios from F(R,G) modified gravity at later times is studied, namely a hyperbolic cosine bounce model and a matter-dominated one. After describing the main characteristics of F(R,G) modified gravity, the two different bounce scenarios stemming from this theory are reconstructed and their stability at late stages is discussed. The stability of the hyperbolic cosine model is proven, while the concrete matter-bounce model here chosen does not seem to accomplish the necessary conditions to be stable at later times.

Recieved 5 December 2019. Accepted 24 July 2020

References in corpus (12)

• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• A Critical Review of Classical Bouncing Cosmologies
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Accelerating cosmologies from non-local higher-derivative gravity
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Anisotropy in a Nonsingular Bounce
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Gauss-Bonnet dark energy by Lagrange multipliers
• $\Lambda$CDM Bounce Cosmology without $\Lambda$CDM: the case of modified gravity

Cited by in corpus (8)

• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• A non-singular bouncing cosmology in $f(R,T)$ gravity
• Inflationary magnetogenesis with reheating phase from higher curvature coupling
• Effective Theory of Inflationary Magnetogenesis and Constraints on Reheating
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• Late-time Cosmology of scalar field assisted $f(\mathcal{G})$ gravity