Regular Article - Theoretical Physics
Inflation from f(R) theories in gravity’s rainbow
School of Science, Walailak University, 80160, Nakhon Si Thammarat, Thailand
2 College of Graduate Studies, Walailak University, 80160, Nakhon Si Thammarat, Thailand
3 Research Group in Applied, Computational and Theoretical Science (ACTS), Walailak University, 80160, Nakhon Si Thammarat, Thailand
4 Thailand Center of Excellence in Physics, Ministry of Higher Education, Science, Research and Innovation, 10400, Bangkok, Thailand
Accepted: 23 August 2020
Published online: 1 September 2020
In this work, we study the f(R) models of inflation in the context of gravity’s rainbow theory. We choose three types of f(R) models: and the Einstein–Hu–Sawicki model with being arbitrary real constants. Here R and M are the Ricci scalar and mass scale, respectively. For all models, the rainbow function is written in the power-law form of the Hubble parameter. We present a detailed derivation of the spectral index of curvature perturbation and the tensor-to-scalar ratio and compare the predictions of our results with the latest Planck 2018 data. With the sizeable number of e-foldings and proper choices of parameters, we discover that the predictions of all f(R) models present in this work are in excellent agreement with the Planck analysis.
© The Author(s) 2020
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