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.

arXiv comment18 pages, 2 figures

References in corpus (55)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Quintom Cosmology: Theoretical implications and observations
• The final state and thermodynamics of dark energy universe
• Cardassian Expansion: a Model in which the Universe is Flat, Matter Dominated, and Accelerating
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Reconstruction of some cosmological models in f(R,T) gravity
• Mimetic Dark Matter
• Thermodynamics in f(R,T) Theory of Gravity
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Modified gravity models of dark energy
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• 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
• Testing some f(R,T) gravity models from energy conditions
• Reconstructing $f(R,T)$ gravity from holographic dark energy
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Conformal symmetry and accelerating cosmology in teleparallel gravity
• On the recently proposed Mimetic Dark Matter
• 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
• Gravitational waves in the $f(R,T)$ theory of gravity
• Dynamical behavior in mimetic F(R) gravity
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Finite-time singularities in f(R, T) gravity and the effect of conformal anomaly
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• Dark matter as a ghost free conformal extension of Einstein theory
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• De Sitter Universe in Nonlocal Gravity
• Cosmological Evolution in f(R,T) theory with Collisional Matter
• f(R) gravity, torsion and non-metricity
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• New Modified Mimetic Gravity
• Unimodular-Mimetic Cosmology
• Hamiltonian Formulation of Mimetic Gravity
• The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Geodesic Deviation Equation in $f(R,T)$ Gravity
• Viscous Generalized Chaplygin Gas Interacting with f(R,T) gravity
• A conventional approach to the dark-energy concept
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity
• Late Time Cosmological Evolution in f(R) theories with Ordinary and Collisional Matter

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• Inflation in mimetic $f(R,T)$ gravity
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• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
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