https://doi.org/10.1140/epjp/s13360-024-05153-8
Regular Article
Initial conditions for Starobinsky inflation with a positive spatial curvature
1
Instituto de Física, Universidade de Brasília, Caixa Postal 04455, 70919-970, Brasília, Brazil
2
Kazan Federal University, 420008, Kazan, Republic of Tatarstan, Russian Federation
3
Sternberg Astronomical Institute, Moscow University, 119991, Moscow, Russian Federation
Received:
22
January
2024
Accepted:
26
March
2024
Published online:
26
April
2024
We have found numerically initial conditions in the (R, H) plane leading to a successful Starobinsky inflation in 
gravity for a isotropic metrics with positive spatial curvature. Trajectories can reach inflation regime either directly or going through a bounce, and even recollapse followed by a bounce. Our numerical plots indicate that “good” initial conditions exist even for big initial spatial curvature, however, we argue that such a trajectory must cross a region of rather big R or H. This means that the range of viability of theory in the (R, H) plane directly affect the question of viability of Starobinsky inflation for a positive spatial curvature isotropic Universe.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
