Constant-roll Inflation in $f(T)$ Teleparallel Gravity

Abstract

We investigate in detail the implications of the constant-roll condition on the inflationary era of a scalar field coupled to a teleparallel $f(T)$ gravity. The resulting cosmological equations constitute a reconstruction technique which enables us to find either the $f(T)$ gravity which corresponds to a given cosmological evolution, or the Hubble rate of the cosmological evolution generated by a fixed $f(T)$ gravity. We also analyze in some detail the phase space of the constant-roll teleparallel gravity and we discuss the physical significance of the resulting fixed points and trajectories. Also we calculate the observational indices of a theory with given $f(T)$ gravity, and we discuss all the implications of the constant-roll condition on these. As we demonstrate, the resulting theory can be compatible with the current observational data, for a wide range of values of the free parameters of the theory.

29 pages, published in JCAP

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• A comprehensive parametrization approach for the Hubble parameter in scalar field dark energy models
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• Generalizing the Constant-roll Condition in Scalar Inflation
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• Cosmological implications of the Weyl geometric gravity theory
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• Analytical Insights into Constant-Roll Condition: Extending the Paradigm to Non-Canonical Models
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• Constant-roll Inflation in Brane Induced Gravity Cosmology
• Observational constraints on viscous cosmology in $f(T,L_m)$ gravity
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• Black holes solutions in power-law Maxwell-$f(T)$ gravity in diverse dimensions