Probing the cosmographic parameters to distinguish between dark energy and modified gravity models

Abstract

In this paper we investigate the deceleration, jerk and snap parameters to distinguish between the dark energy and modified gravity models by using high redshift gamma-ray bursts (GRBs) and supernovae (SNe). We first derive the expressions of deceleration, jerk and snap parameters in dark energy and modified gravity models. In order to constrain the cosmographic parameters, we calibrate the GRB luminosity relations without assuming any cosmological models using SNe Ia. Then we constrain the models (including dark energy and modified gravity models) parameters using type Ia supernovae and gamma-ray bursts. Finally we calculate the cosmographic parameters. GRBs can extend the redshift - distance relation up to high redshifts, because they can be detected to high redshifts.We find that the statefinder pair (r,s) could not be used to distinguish between some dark energy and modified gravity models, but these models could be differentiated by the snap parameter. Using the model-independent constraints on cosmographic parameters, we conclude that the \LambdaCDM model is consistent with the current data.

9 pages, 7 figures, 1 table, published in Astronomy & Astrophysics, two references added

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• Probing kinematics and fate of the Universe with linearly time-varying deceleration parameter
• Standardized long gamma-ray bursts as a cosmic distance indicator
• Probing the anisotropic expansion from supernovae and GRBs in a model-independent way
• Cosmography: Supernovae Union2, Baryon Acoustic Oscillation, Observational Hubble Data and Gamma Ray Bursts
• Cosmography beyond standard candles and rulers
• A third alternative to explain recent observations: Future deceleration
• A new three-parameter correlation for gamma-ray bursts with a plateau phase in the afterglow
• Observational constraints on the tilted flat-XCDM and the untilted nonflat XCDM dynamical dark energy inflation parameterizations
• Constraints on the generalized Chaplygin gas model including gamma-ray bursts via a Markov Chain Monte Carlo approach
• High-redshift cosmography: Application and comparison with different methods
• A reconstruction of modified holographic Ricci dark energy in $f(R,T)$ gravity
• A complete cosmic scenario from inflation to late time acceleration: Non-equilibrium thermodynamics in the context of particle creation
• A closer look at interacting dark energy with statefinder hierarchy and growth rate of structure
• Calibration of GRB Luminosity Relations with Cosmography
• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• Weak gravitational lensing effects on cosmological parameters and dark energy from gamma-ray bursts
• Scrutinizing Various Phenomenological Interactions In The Context Of Holographic Ricci Dark Energy Models
• A study on the interacting Ricci dark energy in $f(R,T)$ gravity
• Dynamics in interacting scalar-torsion theory
• Testing cosmic anisotropy with Pade approximation and Pantheon+ sample
• Constraints on the Generalized Chaplygin Gas Model from Gamma-Ray Bursts
• A Distance-Deviation Consistency and Model-Independent Method to Test the Cosmic Distance-Duality Relation
• Observational constraints of the gravitational waves in the Brans-Dicke theory: Einstein frame and Jordan-Brans-Dicke frame
• Probing the isotropy of cosmic acceleration using different supernova samples
• Late Time Acceleration of the 3-Space in a Higher Dimensional Steady State Universe in Dilaton Gravity
• Cosmological model with linear equation of state parameter in f(R, Lm) gravity
• Recovering $\Lambda$CDM Model From a Cosmographic Study
• Cosmological reconstruction and {\it Om} diagnostic analysis of Einstein-Aether Theory
• Cosmological Constraints on the DGP braneworld model with Gamma-ray bursts
• GRBs and fundamental physics
• Noether symmetry in the Nash theory of gravity
• Renyi Holographic Dark Energy models in Teleparallel gravity
• A generalized $\Lambda$CDM model with parameterized Hubble parameter in particle creation, viscous and $f(R)$ model framework
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• Cosmography and the redshift drift in Palatini $f(\mathcal{R})$ theories
• Taylor expansion of luminosity distance in Szekeres cosmological models: Effects of local structures evolution on cosmographic parameters
• A comprehensive data-driven odyssey to explore the equation of state of dark energy
• Evolving Cosmic Scenario in Modified Chaplygin Gas with Adiabatic Matter Creation
• Cosmological parameter constraints using phenomenological symbolic expressions: On the significance of symbolic expression complexity and accuracy
• Latest Cosmological Constraints on Cardassian expansion models including the updated Gamma-ray bursts
• Mimetic Weyl geometric gravity
• Kinematical models of latetime cosmology and the statefinder diagnostic
• The $f(Q)$ gravity and affine EoS: Compatibility and observational constraints