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

TL;DR

This paper investigates how inflation and primordial fluctuations behave in $F(T)$ gravity's rainbow, deriving perturbation spectra and comparing inflationary predictions with current observational data.

Contribution

It introduces a detailed analysis of slow-roll inflation and primordial fluctuations within $F(T)$ gravity's rainbow, including the derivation of the second order action and power spectra.

Findings

Predictions for scalar spectral index $n_s$ consistent with PLANCK data

Tensor-to-scalar ratio $r$ within observational bounds

Constraints on $F(T)$ gravity's rainbow parameters from data

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.