Late time cosmological approach in mimetic $f(R,T)$ gravity

Abstract

In this paper, we investigate the late-time cosmic acceleration in mimetic $f(R,T)$ gravity with Lagrange multiplier and potential in a Universe containing, besides radiation and dark energy, a self-interacting (collisional) matter. We obtain through the modified Friedmann equations, the main equation that can describe the cosmological evolution and with several models from $Q(z)$ and the well known particular model $f(R,T)$, we perform an analysis of the late-time evolution. We examine the behavior of the Hubble parameter, the dark energy equation of state and the total effective equation of state and we compare in each case the resulting picture with the non-collisional matter (assumed as dust) and also with the collisional matter in mimetic $f(R,T)$ gravity. The results obtained are in good agreement with the observational data and show that in presence of the collisional matter the dark energy oscillations in mimetic f(R, T) gravity can be damped.

18 pages, 2 figures

References in corpus (20)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Modified gravity models of dark energy
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Cosmology with Mimetic Matter
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• Dynamical behavior in mimetic F(R) gravity
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• New Modified Mimetic Gravity
• Hamiltonian Formulation of Mimetic Gravity
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity
• Late Time Cosmological Evolution in f(R) theories with Ordinary and Collisional Matter

Cited by in corpus (17)

• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• Interpretation of complexity for spherically symmetric fluid composition within the context of modified gravity theory
• Orthogonal splitting of the Riemann curvature tensor and its implications in modeling compact stellar structures
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
• The key role of Lagrangian multiplier in mimetic gravitational theory in the frame of isotropic compact star
• Inflation in mimetic $f(R,T)$ gravity
• Structure formation in mimetic gravity
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Isotropic stellar model in mimetic theory
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Effective $\Lambda$CDM model emerging from $f(Q,T)$ under a special EOS limit in symmetric cosmology with Bayesian and ANN observational constraints
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity
• A Novel Implementation of the Matrix Element Method at Next-to-Leading Order for the Measurement of the Higgs Self-Coupling ${\lambda }_{3H}$
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe