Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravity

Abstract

The present work analyzes the various conditions in which there can be a bouncing universe solution in f(R) gravity. In the article an interesting method, to analyze the bouncing FRW solutions in a spatially flat universe using f(R) gravity models using an effective Einstein frame description of the process, is presented. The analysis shows that a cosmological bounce in the f(R) theory need not be described by an equivalent bounce in the Einstein frame description of the process where actually there may be no bounce at all. Nevertheless the Einstein frame description of the bouncing phenomena turns out to be immensely important as the dynamics of the bounce becomes amenable to logic based on general relativistic intuition. The theory of scalar cosmological perturbations in the bouncing universe models in $f(R)$ theories has also been worked out in the Einstein frame.

41 pages, 17 figures, article. The revised version has some major modification in the section containing cosmological perturbations, some minor corrections and a discussion on the stability of the bouncing solution. Accepted for publication in JCAP

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• Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime
• Reconstruction method of $f(R)$ gravity for isotropic and anisotropic spacetimes
• Bouncing cosmological models in $f(R,L_m)$ gravity
• Collapse and dispersal of a homogeneous spin fluid in Einstein-Cartan theory
• Dynamical equivalence of $f(R)$ gravity in Jordan and Einstein frames
• Cosmological evolution with quadratic gravity and nonideal fluids
• Cosmological evolution of thermal relic particles in $f(R)$ gravity
• Can $f(R)$ gravity isotropize a pre-bounce contracting universe?
• Intricacies of Cosmological bounce in polynomial metric $f(R)$ gravity for flat FLRW spacetime
• Nonlinear anisotropy growth in Bianchi-I spacetime in metric $f(R)$ cosmology
• Anisotropic Conformal Dark Gravity on the Lorentz Tangent Bundle Spacetime
• Bouncing Universe in the Contexts of Generalized Cosmic Chaplygin Gas and Variable Modified Chaplygin Gas
• Causal horizons in a bouncing universe
• Bouncing and collapsing universes dual to late-time cosmological models