Observational constraints on cosmological parameters in the Bianchi type III Universe with f(R,T) gravity theory

Abstract

Bianchi type III (BIII) metric is an interesting anisotropic model for studying cosmic anisotropy as it has an additional exponential term multiplied to a directional scale factor. Thus, the cosmological parameters obtained for this BIII metric with the conventional energy-momentum tensor within the framework of a modified gravity theory and the estimation of their values with the help of Hubble, Pantheon plus and other observational data may provide some new information in cosmic evolution. In this work, we have studied the BIII metric under the framework of $f(R,T)$ gravity theory and estimated the values of the cosmological parameters for three different models of this gravity theory by using the Bayesian technique. In our study, we found that all the models show consistent results with the current observations but show deviations in the early stage of the Universe. In one model we have found a sharp discontinuity in the radiation-dominated phase of the Universe. Hence through this study, we have found that all the $f(R,T)$ gravity models may not be suitable for studying evolutions and early stages of the Universe in the BIII metric even though they show consistent results with the current observations.

29 pages, 16 figures

References in corpus (71)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• f(R) Theories Of Gravity
• f(R) theories
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• 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
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• Dark Energy and the Accelerating Universe
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
• f(T) teleparallel gravity and cosmology
• Constraints on the redshift dependence of the dark energy potential
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• 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
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• 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
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - I : Methods and Application to the Sloan Digital Sky Survey
• 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
• Measurement of BAO correlations at $z=2.3$ with SDSS DR12 \lya-Forests
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Aspects of the cosmological "coincidence problem"
• Black Holes in f(R) theories
• Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample
• The Clustering of Galaxies in the SDSS-III DR9 Baryon Oscillation Spectroscopic Survey: Testing Deviations from $\Lambda$ and General Relativity using anisotropic clustering of galaxies
• Measuring D_A and H at z=0.35 from the SDSS DR7 LRGs using baryon acoustic oscillations
• Cosmological Limits on Slightly Skew Stresses
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in configuration space
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements and the strong power of normalized growth rate on constraining dark energy
• Power of Observational Hubble Parameter Data: a Figure of Merit Exploration
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• Constraints on a Bianchi type I spacetime extension of the standard $\Lambda$CDM model
• Cosmology in $f(R,L_m)$ gravity
• Metric-affine f(R,T) theories of gravity and their applications
• Reconstructing isotropic and anisotropic $f(\mathcal{Q})$ cosmologies
• Cosmological implications of Bumblebee vector models
• Non-trivial black hole solutions in $f(R)$ gravitational theory
• The eccentric universe
• Anisotropy of the Universe via the Pantheon supernovae sample revisited
• Cosmology in modified $f(R,T)$-gravity
• Exploring Early Dark Energy solution to the Hubble tension with Planck and SPTPol data
• Observational Constraint in $f(R,T)$ gravity from the cosmic chronometers and some standard distance measurement parameters
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Early and late time cosmology: the $f(R)$ gravity perspective
• Constraining Anisotropic Cosmological Model in $f(\mathcal{R},{\mathcal{L}}_m)$ Gravity
• Anisotropic LRS-BI Universe with $f(Q)$ gravity theory
• Constraints on $f(T)$ Cosmology with Pantheon+
• Quasinormal modes, thermodynamics and shadow of black holes in Hu-Sawicki f(R) gravity theory
• Cosmology with a new f(R) gravity model in Palatini formalism
• Constraining the cosmological model of modified $f(Q)$ gravity: Phantom dark energy and observational insights
• $f(R,T)$ Gravity Bouncing Universe with Cosmological Parameters
• Bouncing cosmological models in $f(R,L_m)$ gravity
• Gaussian Process Approach for Model-Independent Reconstruction of $f(Q)$ Gravity with Direct Hubble Measurements
• f(T) cosmology against the cosmographic method: A new study using mock and observational data
• Revisiting $f(R,T)$ cosmologies
• Dynamical system analysis of LRS-BI Universe with f(Q) gravity theory
• Propagation and Fluxes of Ultra High Energy Cosmic Rays in f(R) Gravity Theory
• Anisotropies of Diffusive Ultra-high Energy Cosmic Rays in $f(R)$ Gravity Theory
• Imprint of f(R) gravity in the cosmic magnification

Cited by in corpus (1)

• Phase space analysis of Bianchi III Universe with $f(R,T)$ gravity theory