2023/10/23 by Müller, Daniel, Toporensky, Alexey
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · doi:10.48550/arxiv.2310.15377
We have found numerically initial conditions in the (R, H) plane leading to a successful Starobinsky inflation in R+R2 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 R+R2 theory in the (R,H) plane directly affect the question of viability of Starobinsky inflation for a positive spatial curvature isotropic Universe.