f(T) cosmology against the cosmographic method: A new study using mock and observational data

Abstract

In this paper, we study the power-law $f(T)$ model using Hubble diagrams of type Ia supernovae (SNIa), quasars (QSOs), Gamma Ray Bursts (GRBs) and the measurements from baryonic acoustic oscillations (BAO) in the framework of the cosmographic method. Using mock data for SNIa, QSOs and GRBs generated based on the power-law $f(T)$ model, we show whether different cosmographic methods are suitable to reconstruct the distance modulus or not. In particular, we investigate the rational PADE polynomials $(3,2)$ and $(2,2)$ in addition to the fourth- and fifth- order Taylor series. We show that PADE $(3,2)$ is the best approximation that can be used in the cosmographic method to reconstruct the distance modulus at both low and high redshifts. In the context of PADE $(3,2)$ cosmographic method, we show that the power-law $f(T)$ model is well consistent with the real observational data from the Hubble diagrams of SNIa, QSOs and GRBs. Moreover, we find that the combination of the Hubble diagram of SNIa and the BAO observation leads to better consistency between the model-independent cosmographic method and the power-law $f(T)$ model. Finally, our observational constraints on the parameter of the effective equation of state of DE, described by the power-law $f(T)$ model, show the phantom-like behavior, especially when the BAO observations are included in our analysis.

19 pages, 10 figures, 6 tables

References in corpus (21)

• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Measuring the dark side (with weak lensing)
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• The Newtonian Limit of F(R) gravity
• Gaussian Process Cosmography
• Good and bad tetrads in f(T) gravity
• $f(T)$ models with phantom divide line crossing
• Reconstructing the interaction between dark energy and dark matter using Gaussian Processes
• Connecting early and late epochs by f(z)CDM cosmography
• Cosmography approach to dark energy cosmologies: new constrains using the Hubble diagrams of supernovae, quasars and gamma-ray bursts
• Improved constraints on the dark energy equation of state using Gaussian processes
• Impact of $H_0$ priors on $f(T)$ late time cosmology
• Neural networks and standard cosmography with newly calibrated high redshift GRB observations
• Bayesian deep learning for dark energy

Cited by in corpus (8)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Constraining extended teleparallel gravity via cosmography: A model-independent approach
• Mapping the ${\Lambda }_{\mathrm{s}}$CDM scenario to $f(T)$ modified gravity: Effects on structure growth rate
• Chebyshev cosmography in the framework of extended symmetric teleparallel theory
• $f(T)$ cosmology in the regime of quasar observations
• Observational constraints on cosmological parameters in the Bianchi type III Universe with f(R,T) gravity theory
• Observational constraints on thawing quintessence scalar field model
• Phase space analysis of Bianchi III Universe with $f(R,T)$ gravity theory