The Hidden Flat Like Universe II: Quasi inverse power law inflation by $f(T)$ gravity

Abstract

In a recent work, a particular class of $f(T)$ gravity, where $T$ is the teleparallel torsion scalar, has been derived. This class has been identified by flat-like universe (FLU) assumptions \cite{HN15}. The model is consistent with the early cosmic inflation epoch. A quintessence potential has been constructed from the FLU $f(T)$-gravity. We show that the first order potential of the induced quintessence is a quasi inverse power law inflation with an additional constant providing an end of the inflation with no need to an extra mechanism. At $e$-folds $N_{\ast }=55$ before the end of the inflation, this type of potential can perform both $E$ and $B$ modes of the cosmic microwave background (CMB) polarization pattern.

11 pages, 4 figures and 1 table. Minor changes to match the published version

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Cited by in corpus (14)

• Teleparallel Gravity: From Theory to Cosmology
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• Phase Portraits of general f(T) Cosmology
• Generalized teleparallel cosmology and initial singularity crossing
• Analytic rotating black hole solutions in $N$-dimensional $f(T)$ gravity
• Higgs inflation and teleparallel gravity
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Logamediate Inflation in f(T) Teleparallel Gravity
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Modelling of a compact anisotropic star as an anisotropic fluid sphere in $f(T)$ gravity
• Inflation with F(T) Teleparallel Gravity
• A preference for dynamical phantom dark energy using one-parameter model with Planck, DESI DR1 BAO and SN data
• Generic Phase Portrait Analysis of the Finite-time Singularities and Generalized Teleparallel Gravity