Revisiting $f(R)$ gravity's rainbow: Inflation and primordial fluctuations

Abstract

We study inflation and the generation of primordial fluctuations in $f(R)$ gravity's rainbow. We calculate the cosmological perturbations and then the scalar and tensor primordial power spectrum. We contrast the predictions of the model with the current observational data from PLANCK and BICEP/Keck. Particularly, we found new results for the scalar spectral index $n_s$ and the tensor-to-scalar ratio $r$ along with new observational constraints on the rainbow functions.

arXiv comment18 pages, 4 figures. Updated to match the published version in JCAP

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Cited by in corpus (5)

• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture
• Effective dark energy through spin-gravity coupling
• Classical and quantum cosmology of $f(R)$ gravity's rainbow in Schutz's formalism
• Gravitational baryogenesis in $F(R)$ gravity's rainbow
• Einstein-Yang-Mills Regular Black Holes in Rainbow Gravity