Observational Constraints and Cosmographic Analysis of $f(T,T_G)$ Gravity and Cosmology

Abstract

We perform observational confrontation and cosmographic analysis of $f(T,T_G)$ gravity and cosmology. This higher-order torsional gravity is based on both the torsion scalar, as well as on the teleparallel equivalent of the Gauss--Bonnet combination, and gives rise to an effective dark-energy sector which depends on the extra torsion contributions. We employ observational data from the Hubble function and supernova Type Ia Pantheon datasets, applying a Markov chain Monte Carlo sampling technique, and we provide the iso-likelihood contours, as well as the best-fit values for the parameters of the power-law model, an ansatz which is expected to be a good approximation of most realistic deviations from general relativity. Additionally, we reconstruct the effective dark-energy equation-of-state parameter, which exhibits a quintessence-like behavior, while in the future the Universe enters into the phantom regime, before it tends asymptotically to the cosmological constant value. Furthermore, we perform a detailed cosmographic analysis, examining the deceleration, jerk, snap, and lerk parameters, showing that the transition to acceleration occurs in the redshift range $0.52\le z_{tr}\le 0.89$, as well as the preference of the scenario for quintessence-like behavior. Finally, we apply the Om

arXiv comment14 pages, 11 figures, Invited article for the Symmetry Special Issue in "Cosmological Theories and Observations"

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• New parametrization of the dark-energy equation of state with a single parameter
• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Constraining nonminimal f(T) gravity from Primordial Nucleosynthesis to Late-Universe observations
• Gauge invariant perturbations of $F(T,T_G)$ Cosmology
• Growth factor in teleparallel Gauss-Bonnet gravity