Cosmic evolution in the background of non-minimal coupling in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity

Abstract

An accelerated expansion phase is being experienced by the universe due to the presence of an unknown energy component known as dark energy (DE). To find out the cosmic evolution scientists ever tried to modify Einstein's gravitational theory and its unexplored parts. We also look forward to address the same problem with a different approach based on interaction between matter and geometry. For this purpose we consider $f(R,T,Q)$ modified theory (where $R$ is the Ricci Scalar, $T$ is the trace of energy-momentum tensor (EMT) $T_{uv}$ and $Q=R_{uv}{T}^{uv}$ is interaction of EMT $T_{\mu \nu }$ and Ricci Tensor $R_{uv}$). We formulate modified field equations in the background of Friedmann-Lema$\hat{i}$tre-Robertson-Walker (FLRW) model which is defined as $d{s}^2=d{t}^2-a(t{)}^2(d{x}^2+d{y}^2+d{z}^2)$, where $a(t)$ represents the scale factor. In this formalism energy density is found using covariant divergence of modified field equations. $\rho$ involves a contribution from non-minimal matter geometry coupling which helps to study different cosmic eras based on equation of state (EOS). Furthermore, we apply the energy bounds to constrain the model parameters establishing a pathway to discuss the cosmic evolution for best suitable parameters in accordance with recent observations.

arXiv comment11 pages, 6 figures

References in corpus (62)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2013 results. XVI. Cosmological parameters
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmological parameters from SDSS and WMAP
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• The Case for a Positive Cosmological Lambda-term
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Planck 2013 results. I. Overview of products and scientific results
• Extra force in $f(R)$ modified theories of gravity
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• f(R,L_m) gravity
• Cross-correlation Tomography: Measuring Dark Energy Evolution with Weak Lensing
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• Reconstruction of some cosmological models in f(R,T) gravity
• Covariant conservation of energy momentum in modified gravities
• Thermodynamics in f(R,T) Theory of Gravity
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Dynamics of scalar perturbations in f(R,T) gravity
• Twilight for the energy conditions?
• Modelling wormholes in $f(R,T)$ gravity
• f(R,T) Cosmological Models in Phase Space
• Reconstructing $f(R,T)$ gravity from holographic dark energy
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• LRS Bianchi Type I Models with Anisotropic Dark Energy and Constant Deceleration Parameter
• Locally Rotationally Symmetric Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Energy conditions and their cosmological implications
• Possible Formation of Compact Stars in $f(R,T)$ Gravity
• On the non-minimal gravitational coupling to matter
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Energy Conditions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Evolution of Axially Symmetric Anisotropic Sources in $f(R,T)$ Gravity
• Observational constraints on Hubble constant and deceleration parameter in power-law cosmology
• Anisotropic Universe Models with Perfect Fluid and Scalar Field in f(R,T) Gravity
• Cosmology of Holographic and New Agegraphic $f(R,T)$ Models
• Constraints on cosmological parameters in power-law cosmology
• Cosmological Constraints on a Power Law Universe
• Observational Constraints On Power-Law Cosmologies
• Thermodynamic Behavior of particular $f(R,T)$ Gravity Models
• Testing power-law cosmology with galaxy clusters
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Cosmological Tests for a Linear Coasting Cosmology
• The One-Loop Effective Action in phi^4 Theory Coupled Non-Linearly with Curvature Power and Dynamical Origin of Cosmological Constant
• Generalised teleparallel quintom dark energy non-minimally coupled with the scalar torsion and a boundary term
• A program for a problem free Cosmology within a framework of a rich class of scalar tensor theories
• Interior Solutions of Fluid Sphere in f(R,T) Gravity Admitting Conformal Killing Vectors
• Generalised nonminimally gravity-matter coupled theory
• Observational constraints on phantom power-law cosmology
• Constraints on the Cardassian Expansion from the Cosmic Lens All-Sky Survey Gravitational Lens Statistics

Cited by in corpus (1)

• Gödel-type solutions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) gravity