Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
Abstract
We investigate an ability of the exponential power-law inflation to be phenomenologically correct model of the early universe. GR scalar cosmology equations we study in Ivanov-Salopek-Bond (or Hamilton-Jacobi like) representation where the Hubble parameter is the function of a scalar field . Such approach admits calculation of the potential for given and consequently reconstruction of gravity in parametric form. By this manner the Starobinsky potential and non-minimal Higgs potential (and consequently the corresponding gravity) were reconstructed using constraints on model's parameters. Also comparison to observation (PLANCK 2018) data shows that both models give correct values for scalar spectral index and tensor-to-scalar ratio under wide range of exponential-power-law model's parameters.
Keywords
Cite
@article{arxiv.2006.16074,
title = {Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints},
author = {I. V. Fomin and S. V. Chervon},
journal= {arXiv preprint arXiv:2006.16074},
year = {2025}
}
Comments
11 pages, 1 figure