Analytic Solution of the Starobinsky Model for Inflation
General Relativity and Quantum Cosmology
2017-07-05 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We prove that the field equations of the Starobinsky model for inflation in a Friedmann-Lema\^{\i}tre-Robertson-Walker constitute an integrable system as the field equations pass the singularity test. The analytical solution in terms of a Painlev\'{e} Series for the Starobinsky model is presented for the case of zero and nonzero spatial curvature. In both cases the leading-order term describes the radiation era provided by the corresponding higher-order theory.
Cite
@article{arxiv.1706.06400,
title = {Analytic Solution of the Starobinsky Model for Inflation},
author = {Andronikos Paliathanasis},
journal= {arXiv preprint arXiv:1706.06400},
year = {2017}
}
Comments
5 pages, references added, to appear in EPJC