Model-independent reconstruction of $f(T)$ gravity from Gaussian Processes

Abstract

We apply Gaussian processes and Hubble function data in $f(T)$ cosmology, to reconstruct for the first time the $f(T)$ form in a model-independent way. In particular, using $H(z)$ datasets coming from cosmic chronometers as well as from the radial BAO method, alongside the latest released local value $H_0=73.52\pm 1.62$ km/s/Mpc, we reconstruct $H(z)$ and its derivatives, resulting eventually in a reconstructed region for $f(T)$, without any assumption. Although the cosmological constant lies in the central part of the reconstructed region, the obtained mean curve follows a quadratic function. Inspired by this we propose a new $f(T)$ parametrization, i.e. $f(T)=-2\Lambda +\xi T^2$, with $\xi$ the sole free parameter that quantifies the deviation from $\Lambda$CDM cosmology. Additionally, we confront three viable one-parameter $f(T)$ models of the literature, which respectively are the power-law, the square-root exponential, and the exponential one, with the reconstructed $f(T)$ region, and then we extract significantly improved constraints for their model parameters, comparing to the constraints that arise from usual observational analysis. Finally, we argue that since we are using the direct Hubble measurements and the local value for $H_0$ in our analysis, with the above reconstruction of $f(T)$, the $H_0$ tension can be efficiently alleviated.

10 pages, 4 figures, 1 table; comments are welcome

References in corpus (28)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• The Carnegie-Chicago Hubble Program. VIII. An Independent Determination of the Hubble Constant Based on the Tip of the Red Giant Branch
• The teleparallel equivalent of general relativity
• Cosmological perturbations in f(T) gravity
• Extended Gravity Cosmography
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Gaussian Process Cosmography
• Solar system constraints on f(T) gravity
• Nonparametric Dark Energy Reconstruction from Supernova Data
• A Simple Phenomenological Emergent Dark Energy Model can Resolve the Hubble Tension
• Cosmological applications of $F(T,T_G)$ gravity
• New classes of modified teleparallel gravity models
• Reconstructing the interaction between dark energy and dark matter using Gaussian Processes
• Bayesian analysis of $f(T)$ gravity using $f{\sigma }_8$ data
• Photon sphere and perihelion shift in weak $f(T)$ gravity
• Stability of the flat FLRW metric in $f(T)$ gravity
• Model-independent reconstruction of $f(T)$ teleparallel cosmology
• New observational constraints on $f(T)$ cosmology from radio quasars
• Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials
• FRW in quadratic form of $f(T)$ gravitational theories
• Improved constraints on the dark energy equation of state using Gaussian processes
• Geodesic Deviation Equation in $f(T)$ gravity
• Spherical collapse model and cluster number counts in power law $f(T)$ gravity

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