Reconstruction of an Observationally Constrained $f(R,T)$ gravity model

Abstract

In this paper, an attempt is made to construct a Friedmann-Lemaitre-Robertson-Walker model in $f(R,T)$ gravity with a perfect fluid that yields acceleration at late times. We take $f(R,T)$ as $R$ + $8\pi \mu T$. As in the $\Lambda$CDM model, we take the matter to consist of two components, viz., ${\Omega }_m$ and ${\Omega }_{\mu }$ such that ${\Omega }_m$ + ${\Omega }_{\mu }$=1. The parameter ${\Omega }_m$ is the matter density (baryons + dark matter), and ${\Omega }_{\mu }$ is the density associated with the Ricci scalar $R$ and the trace $T$ of the energy momentum tensor, which we shall call dominant matter. We find that at present ${\Omega }_{\mu }$ is dominant over ${\Omega }_m$, and that the two are in the ratio 3:1 to 3:2 according to the three data sets: (i) 77 Hubble OHD data set (ii) 580 SNIa supernova distance modulus data set and (iii) 66 pantheon SNIa data which include high red shift data in the range $0\le z\le 2.36$. We have also calculated the pressures and densities associated with the two matter densities, viz., $p_{\mu }$, ${\rho }_{\mu }$, $p_m$ and ${\rho }_m$, respectively. It is also found that at present, ${\rho }_{\mu }$ is greater than ${\rho }_m$. The negative dominant matter pressure $p_{\mu }$ creates acceleration in the universe. Our deceleration and snap parameters show a change from negative to positive, whereas the jerk parameter is always positive. This means that the universe is at present accelerating and in the past it was decelerating. State finder diagnostics indicate that our model is at present a dark energy quintessence model. The various other physical and geometric properties of the model are also discussed.

arXiv comment25 pages, 11 figures, 2 tables

References in corpus (70)

• 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
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• 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
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• 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
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Exploring the Expansion History of the Universe
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Cosmological Results from High-z Supernovae
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• The Pantheon+ Analysis: Cosmological Constraints
• Disappearing cosmological constant in f(R) gravity
• Constraints on the redshift dependence of the dark energy potential
• Dark Energy Constraints from the Cosmic Age and Supernova
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Dark Energy
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Probing the dark energy: methods and strategies
• WMAP constraints on low redshift evolution of dark energy
• Modeling the Anisotropic Two-Point Galaxy Correlation Function on Small Scales and Improved Measurements of H(z), D_A(z), and f(z)sigma_8(z) from the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• Metric-affine f(R) theories of gravity
• Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics
• A theoretician's analysis of the supernova data and the limitations in determining the nature of dark energy
• Cosmological parameters from supernova observations: A critical comparison of three data sets
• Dark energy problem: from phantom theory to modified Gauss-Bonnet gravity
• First Cosmological Results using Type Ia Supernovae from the Dark Energy Survey: Measurement of the Hubble Constant
• Combining Full-Shape and BAO Analyses of Galaxy Power Spectra: A 1.6% CMB-independent constraint on H0
• Hubble Space Telescope and Ground-Based Observations of Type Ia Supernovae at Redshift 0.5: Cosmological Implications
• Efficient Cosmological Analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure
• Phantom Cosmologies
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Constraints on the curvature of the Universe and dynamical dark energy from the Full-shape and BAO data
• Probing the curvature and dark energy
• The dark side of gravity: Modified theories of gravity
• Determining the Hubble Constant without the Sound Horizon: Measurements from Galaxy Surveys
• Reexamining $f(R,T)$ gravity
• Einstein's 1917 Static Model of the Universe: A Centennial Review
• Maximum Baryon Masses for Static Neutron Stars in $f(R)$ Gravity
• The Genesis of Cosmological Tracker Fields
• Viability of Bianchi type V Universe in $f(R,T)=f_1(R)+f_2(R)f_3(T)$ gravity
• Charged quark stars in $f(R,T)$ gravity
• Early and late time cosmology: the $f(R)$ gravity perspective
• f(R) Gravity and its Cosmological Implications
• Constraints on the dark energy equation of state from the separation of CMB peaks and the evolution of alpha
• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity
• Evaluation of cosmological models in $f(R,T)$ gravity in different dark energy scenario
• Introductory review of cosmic inflation
• Early and Late Transient Cosmic Acceleration due to Curvature Inspired Dark Energy
• Physical Parameters for Stable $f(R)$ Models
• Acceleration of the Universe in f(R) Gravity Models

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