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.

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

References in corpus (17)

• Quantum Gravity at a Lifshitz Point
• The Standard Model Higgs boson as the inflaton
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• $f(T,\mathcal{T})$ gravity and cosmology
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Dynamical features of scalar-torsion theories
• Rainbow universe
• BICEP/Keck and Cosmological Attractors
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Deformed Starobinsky model in gravity's rainbow
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Inflation from $f(R)$ theories in gravity's rainbow
• Inflation and Primordial Fluctuations in $F(T)$ Gravity's Rainbow
• Canonical and Non-canonical Inflation in the light of the recent BICEP/Keck results
• Parametrized post-Newtonian formalism in higher-order Teleparallel Gravity

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