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

preprint2022arXivOpen access

Abstract

We study slow-roll inflation and the generation of primordial fluctuations in F(T)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 nsn_{s} and the tensor-to scalar ratio rr, we confront the predictions of the model with the current PLANCK and BICEP/Keck data.

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