Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow

Abstract

We study slow-roll inflation and the generation of primordial fluctuations in $F(T)$ gravity's rainbow. We obtain the second order action for scalar and tensor perturbations and then calculate the primordial power spectrum for them. Thus, after calculating the inflationary observables up to first order in slow-roll approximation, namely the scalar spectral index $n_s$ and the tensor-to scalar ratio $r$, we confront the predictions of the model with the current PLANCK and BICEP/Keck data.

arXiv comment12 pages, 4 figures. Updated to match the published version in PRD

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• Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
• Revisiting $f(R)$ gravity's rainbow: Inflation and primordial fluctuations
• Effective dark energy through spin-gravity coupling
• Dynamics of dark energy in a scalar-vector-torsion theory
• Phase-space analysis of torsion-coupled dilatonic ghost condensate
• Classical and quantum cosmology of $f(R)$ gravity's rainbow in Schutz's formalism
• Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity