Cosmological tests of the osculating Barthel-Kropina dark energy model

Abstract

We further investigate the dark energy model based on the Finsler geometry inspired osculating Barthel-Kropina cosmology. The Barthel-Kropina cosmological approach is based on the introduction of a Barthel connection in an osculating Finsler geometry, with the connection having the property that it is the Levi-Civita connection of a Riemannian metric. From the generalized Friedmann equations of the Barthel-Kropina model, obtained by assuming that the background Riemannian metric is of the Friedmann-Lemaitre-Robertson-Walker type, an effective geometric dark energy component can be generated, with the effective, geometric type pressure, satisfying a linear barotropic type equation of state. The cosmological tests, and comparisons with observational data of this dark energy model are considered in detail. To constrain the Barthel-Kropina model parameters, and the parameter of the equation of state, we use 57 Hubble data points, and the Pantheon Supernovae Type Ia data sample. The st statistical analysis is performed by using Markov Chain Monte Carlo (MCMC) simulations. A detailed comparison with the standard $\Lambda$CDM model is also performed, with the Akaike information criterion (AIC), and the Bayesian information criterion (BIC) used as the two model selection tools. The statefinder diagnostics consisting of jerk and snap parameters, and the $Om(z)$ diagnostics are also considered for the comparative study of the Barthel-Kropina and $\Lambda$CDM cosmologies. Our results indicate that the Barthel-Kropina dark energy model gives a good description of the observational data, and thus it can be considered a viable alternative of the $\Lambda$CDM model.

arXiv comment23 pages, 16 figures, accepted for publication in EPJC

References in corpus (86)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R) Theories Of Gravity
• The Confrontation between General Relativity and Experiment
• f(R) theories
• Cosmological Imprint of an Energy Component with General Equation of State
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• 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
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• f(T) teleparallel gravity and cosmology
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Observational Probes of Cosmic Acceleration
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Constraints on the redshift dependence of the dark energy potential
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Bayes in the sky: Bayesian inference and model selection in cosmology
• Beyond the Cosmological Standard Model
• 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
• Extra force in $f(R)$ modified theories of gravity
• Coincident General Relativity
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Two new diagnostics of dark energy
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• f(R,L_m) gravity
• Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Dark Energy vs. Modified Gravity
• $f(Q,T)$ gravity
• Measurement of BAO correlations at $z=2.3$ with SDSS DR12 \lya-Forests
• 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
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• Dark matter and the early Universe: a review
• Tension and constraints on modified gravity parametrizations of $G_{\text{eff}}(z)$ from growth rate and Planck data
• Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample
• Likely Values of the Cosmological Constant
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in configuration space
• Effective Field Theory of Dark Energy: a Review
• 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
• The General Very Special Relativity in Finsler Cosmology
• Resembling dark energy and modified gravity with Finsler-Randers cosmology
• Spacetimes with vector distortion: Inflation from generalised Weyl geometry
• Friedmann Robertson-Walker model in generalised metric space-time with weak anisotropy
• Principles of Einstein-Finsler Gravity and Perspectives in Modern Cosmology
• Modified Newton's gravity in Finsler Space as a possible alternative to dark matter hypothesis
• Exact solution of vacuum field equation in Finsler spacetime
• Finsler gravity action from variational completion
• Weyl-Cartan-Weitzenböck gravity as a generalization of teleparallel gravity
• Gauging scale symmetry and inflation: Weyl versus Palatini gravity
• Implications of a Stochastic Microscopic Finsler Cosmology
• Weyl-Cartan-Weitzenböck gravity through Lagrange multiplier
• Stueckelberg breaking of Weyl conformal geometry with applications to gravity
• Cosmological equivalence between the Finsler-Randers space-time and the DGP gravity model
• Finsler-Randers Cosmology: dynamical analysis and growth of matter perturbations
• Cosmological Finsler Spacetimes
• Geodesics and the magnitude-redshift relation on cosmologically symmetric Finsler spacetimes
• Statistical methods for cosmological parameter selection and estimation
• Cosmology of Lorentz fiber-bundle induced scalar-tensor theories
• Cosmological evolution and dark energy in osculating Barthel-Randers geometry
• Critical Remarks on Finsler Modifications of Gravity and Cosmology by Zhe Chang and Xin Li
• Dynamics in Varying vacuum Finsler-Randers Cosmology
• Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
• Coupling matter and curvature in Weyl geometry: conformally invariant $f\left(R,L_m\right)$ gravity
• On the Geometrization of Quantum Mechanics
• Schwarzschild-like solutions in Finsler-Randers gravity
• Cosmological inflation driven by a scalar torsion function
• The kinetic gas universe
• Curvature-matter couplings in modified gravity: from linear models to conformally invariant theories
• First comprehensive constraints on the Finslerian models using cosmological observations
• Broken Scale Invariance, Gravity Mass, and Dark Energy in Modified Einstein Gravity with Two Measure Finsler Like Variables
• Non-metric fluid dynamics and cosmology on Finsler spacetimes
• Constraints from Type IA Supernovae on λ-CDM Model in Randers-Finsler Space
• Ultra-high energy cosmic rays threshold in Randers-Finsler space
• On the self-interference in electron scattering: Copenhagen, Bohmian and geometrical interpretations of quantum mechanics
• Does space-time torsion determine the minimum mass of gravitating particles?
• Randers geometry as MOND/dark matter

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