Exploring the Cosmological Model in $f(R,T^{\varphi })$ Gravity with Observational Constraints

Abstract

We have investigated an isotropic and homogeneous cosmological model of the universe in $f(R,T^{\varphi })$ gravity, where $T^{\varphi }$ is the trace of the energy-momentum tensor and $R$ is the Ricci scalar. We developed and presented exact solutions of field equations of the proposed model by taking the parametrization $q(z)=\alpha +\frac{\beta z}{1+z}$, where $\alpha$ and $\beta$ are arbitrary constants. The best possible values of the model's free parameters are estimated using the latest observational data sets of OHD, BAO, and Pantheon by applying the MCMC statistical technique. Some kinematic properties like density parameter ${\rho }_{\varphi }$, pressure $p_{\varphi }$, and equation of state parameter ${\omega }_{\varphi }$ are derived. We have also discussed the behavior of the scalar potential $V(\varphi )$ in the $f(R,T^{\varphi })$ gravity theory. The behaviors of scalar fields for quintessence and phantom models are explored. Furthermore, we have discussed the behavior of energy conditions and sound speed in $f(R,T^{\varphi })$ cosmology.

arXiv comment18 pages, 12 figures

References in corpus (60)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2015 results. XIII. Cosmological parameters
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• f(R) Theories Of Gravity
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• f(R,T) gravity
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Cosmological Tracking Solutions
• The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
• Kinetically Driven Quintessence
• Curvature Quintessence
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Dark torsion as the cosmic speed-up
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Two new diagnostics of dark energy
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - I : Methods and Application to the Sloan Digital Sky Survey
• 1/R gravity and Scalar-Tensor Gravity
• Quintessence as a run-away dilaton
• Finite-time future singularities in modified Gauss-Bonnet and $\mathcal{F}(R,G)$ gravity and singularity avoidance
• Construction of cosmologically viable f(G) gravity models
• Dark Energy Anisotropic Stress and Large Scale Structure Formation
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• Cosmic Microwave Background and Supernova Constraints on Quintessence: Concordance Regions and Target Models
• Energy conditions in f(R)-gravity
• Stationary dark energy: the present universe as a global attractor
• Dark energy and dark matter as curvature effects
• Perturbations of the Quintom Models of Dark Energy and the Effects on Observations
• Dark matter as a geometric effect in f(R) gravity
• Solar System tests DO rule out 1/R gravity
• FRW Cosmology in F(R,T) gravity
• The role of energy conditions in $f(R)$ cosmology
• Locally Rotationally Symmetric Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Spintessence! New Models for Dark Matter and Dark Energy
• Constraining f(R) theories with the energy conditions
• Quintom Cosmology with General Potentials
• Transition from quintessence to phantom phase in quintom model
• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Reconstruction of Deceleration Parameters from Recent Cosmic Observations
• Energy Conditions and Segre Classification of Phantom Fields
• F(T) gravity and k-essence
• Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity
• The Genesis of Cosmological Tracker Fields
• Existence of bulk viscous universe in $f(R,T)$ gravity and confrontation with observational data
• Transitioning Universe with hybrid scalar field in Bianchi I space-time
• Reconstruction of k-essence model
• Power-law solution for homogeneous and isotropic universe in $f(R,T)$ gravity
• $f(\mathcal{R},\phi ,\chi )$ Cosmology with Noether Symmetry
• Vanishing Cosmological Constant in Modified Gauss-Bonnet Gravity with Conformal Anomaly

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