Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity

Abstract

Modeling of matter bounce in $f(R,T)$ gravity has been presented with no violation of the null energy condition. Only a closed universe with negative pressure is allowed in good agreement with some recent observations which favor a universe with positive curvature. Our results agree with some recent works in which a combination of positive curvature and vacuum energy leads to non-singular bounces with no violation of the null energy condition. The stability of the model has been discussed. The cosmographic parameters are developed for the derived model to explain the accelerated expansion of the universe.

18 pages, 18 figures

References in corpus (25)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark torsion as the cosmic speed-up
• Planck evidence for a closed Universe and a possible crisis for cosmology
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Extended Gravity Cosmography
• A Critical Review of Classical Bouncing Cosmologies
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Energy Conditions in Modified $f(G)$ Gravity
• LXCDM: a cosmon model solution to the cosmological coincidence problem?
• Matter creation in a nonsingular bouncing cosmology
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Electrically Charged Quark Stars in $4D$ Einstein-Gauss-Bonnet Gravity
• Inflation with a Negative Cosmological Constant
• Cosmic acceleration with a negative cosmological constant in higher dimensions
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• Non-singular Bounce Cosmology from Lagrange Multiplier $F(R)$ Gravity
• Evaluation of cosmological models in $f(R,T)$ gravity in different dark energy scenario
• A Cyclic Universe With Varying Cosmological Constant in $f(R,T)$ gravity
• Non-Singular Bounces Catalysed by Dark Energy
• Cosmological determination to the values of the prefactors in the logarithmic corrected entropy-area relation
• Curvature dark energy reconstruction through different cosmographic distance definitions
• Averaged Energy Conditions and Bouncing Universes

Cited by in corpus (4)

• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Cosmic acceleration with bulk viscosity in an anisotropic $f(R,L_m)$ background
• Gravastar under the framework of braneworld gravity II: effect of the Kuchowicz metric function
• Renyi Holographic Dark Energy models in Teleparallel gravity