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.

arXiv comment14 pages,13 figures

References in corpus (55)

• Dynamics of dark energy
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Cosmological Tracking Solutions
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Einstein's Other Gravity and the Acceleration of the Universe
• Extra force in $f(R)$ modified theories of gravity
• The Physics of Cosmic Acceleration
• The Emergent Universe: inflationary cosmology with no singularity
• Matter Bounce Cosmology with the f(T) Gravity
• Accelerating universe from F(T) gravity
• Bouncing Cosmologies: Progress and Problems
• Extended Gravity Cosmography
• A Critical Review of Classical Bouncing Cosmologies
• The Cosmology of Modified Gauss-Bonnet Gravity
• Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• Gravastars in $f(R,\mathcal{T})$ gravity
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• Ghosts in the self-accelerating universe
• Energy Conditions Constraints and Stability of Power Law Solutions in f(R,T) Gravity
• Alternatives to Cosmological Inflation
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Antigravity and the big crunch/big bang transition
• Cosmological inviability of $f(R,T)$ gravity
• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Bouncing cosmology in $f(R,T)$ gravity
• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• Isotropic and Anisotropic Bouncing Cosmologies in Palatini Gravity
• A periodic varying deceleration parameter in $f(R,T)$ gravity
• Classical and quantum ghosts
• Bounce universe from string-inspired Gauss-Bonnet gravity
• Bouncing inflation in nonlinear $R^2+R^4$ gravitational model
• Bounce solutions in viscous fluid cosmology
• $f(R,T)$ models applied to Baryogenesis
• Cosmological singularity resolution from quantum gravity: the emergent-bouncing universe
• Cosmological models with a hybrid scale factor in an extended gravity theory
• Bouncing scenario in $f(R,T)$ gravity
• Cosmology in modified $f(R,T)$-gravity
• Geodesically Complete Analytic Solutions for a Cyclic Universe
• Late time cosmological approach in mimetic $f(R,T)$ gravity
• Jeans' Ghost
• Anisotropic cosmological reconstruction in $f(R,T)$ gravity
• Phantom cosmology in an Extended Theory of Gravity
• Reconstruction method of $f(R)$ gravity for isotropic and anisotropic spacetimes
• Dynamical features of an anisotropic cosmological model
• Accelerating models with a hybrid scale factor in extended gravity
• Bouncing Cosmologies

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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
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