Bounce Conditions in f(R) Cosmologies

Abstract

We investigate the conditions for a bounce to occur in Friedmann-Robertson-Walker cosmologies for the class of fourth order gravity theories. The general bounce criterion is determined and constraints on the parameters of three specific models are given in order to obtain bounces solutions. It is found that unlike the case of General Relativity, a bounce appears to be possible in open and flat cosmologies.

11 pages LaTeX

References in corpus (6)

• String Theory Dynamics In Various Dimensions
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Curvature Quintessence
• Curvature quintessence matched with observational data
• Cosmological dynamics of R^n gravity
• M-Theory (the Theory Formerly Known as Strings)

Cited by in corpus (43)

• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• Bouncing cosmologies with dark matter and dark energy
• Dynamics of the anisotropic Kantowsky-Sachs geometries in $R^n$ gravity
• A dynamical system analysis of hybrid metric-Palatini cosmologies
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• The bouncing cosmology with $F(R)$ gravity and its reconstructing
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• A detailed analysis of structure growth in $f(R)$ theories of gravity
• Dynamical System Analysis of Cosmologies with Running Cosmological Constant from Quantum Einstein Gravity
• Bounce cosmology in $f(\mathcal{R})$ gravity
• Perihelion precession for modified Newtonian gravity
• On $f(R)$ gravity in scalar-tensor theories
• Asymptotic behavior of a scalar field with an arbitrary potential trapped on a Randall-Sundrum's braneworld: the effect of a negative dark radiation term on a Bianchi I brane
• Chaplygin-gas Solutions of f(R) Gravity
• The dynamics of Bianchi I universes in $R^n$ cosmologies with torsion
• R^n gravity and the chameleon
• Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravity
• Density growth in Kantowski-Sachs cosmologies with cosmological constant
• Smoking guns of a bounce in modified theories of gravity through the spectrum of the gravitational waves
• Observational signatures of a non-singular bouncing cosmology
• Perturbations of bounce inflation scenario from $f(T)$ modified gravity revisited
• Slice Energy in Higher Order Gravity Theories and Conformal Transformations
• On Shear-free perturbations of f(R) gravity
• Tensor Perturbations from Bounce Inflation Scenario in f(Q) Gravity
• A Born-Infeld-like f(R) gravity
• Acceleration of the Universe driven by the Casimir force
• Phase Space of Anisotropic $R^n$ Cosmologies
• Intricacies of Cosmological bounce in polynomial metric $f(R)$ gravity for flat FLRW spacetime
• Oscillatory behavior of closed isotropic models in second order gravity theory
• The CST Bounce Universe model -- a parametric study
• Nonlinear anisotropy growth in Bianchi-I spacetime in metric $f(R)$ cosmology
• Cosmological solutions and finite time singularities in Finslerian geometry
• Conditions for defocusing around more general metrics in Infinite Derivative Gravity
• Bouncing Universe in the Contexts of Generalized Cosmic Chaplygin Gas and Variable Modified Chaplygin Gas
• An overview of f(R) theories
• Inflation constraints for classes of f(R) models
• Cosmological Singularity and Power-Law Solutions in Modified Gravity
• Transitioning from a bounce to $R^2$ inflation
• Light meson gas in the QCD vacuum and oscillating Universe
• Crunching, Bouncing, and Cyclical Cosmologies from Dark Sector Interactions
• On inflationary parameters in scalar-tensor theories
• Modeling the quantum evolution of the universe through classical matter