Bouncing Models in an Extended Gravity Theory

Abstract

Some bouncing models are investigated in the framework of an extended theory of gravity. The extended gravity model is a simple extension of the General Relativity where an additional matter geometry coupling is introduced to account for the late time cosmic speed up phenomena. The dynamics of the models are discussed in the background of a flat FRW universe. Some viable models are reconstructed for specifically assumed bouncing scale factors. The behavior of the models are found to be decided mostly by the parameters of the respective models. The extended gravity based minimal matter-geometry coupling parameter has a role to remove the omega singularity occurring at the bouncing epoch. It is noted that the constructed models violate the energy conditions, however, in some cases this violation leads to the evolution of the models in phantom phase. The stability of the models are analyzed under linear homogeneous perturbations and it is found that, near the bounce, the models show instability but the perturbations decay out smoothly to provide stable models at late times.

14 pages,13 figures

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• Bouncing cosmology in extended gravity and its reconstruction as dark energy model
• The dynamics of matter bounce cosmology in Weyl-type $f(Q,T)$ gravity
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• Bouncing behavior in $f(R,L_m)$ gravity: Phantom crossing and energy conditions
• Bouncing cosmological models in a functional form of F(R) gravity
• Evolution of Generalized Brans-Dicke parameter within a Superbounce scenario
• Non-singular flat universes in braneworld and Loop Quantum Cosmology
• Bouncing cosmological model with general relativistic hydrodynamics in extended gravity
• Multiple fluid theory of cosmic evolution and its thermodynamic analysis
• New symmetry in higher curvature spacetimes
• Dynamics of quasi de Sitter and linear combination of exponential models in extended gravity