In general quadratic gravity with alpha = -10 beta, Starobinsky inflation remains reachable from a nonzero band of initial conditions, though the basin shifts from expanding to contracting starts as shear increases.
Initial conditions for Starobinsky Inflation with a positive spatial curvature
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abstract
We have found numerically initial conditions in the $(R, H)$ plane leading to a successful Starobinsky inflation in $R+R^2$ 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 $R+R^2$ 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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gr-qc 1years
2025 1verdicts
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Initial conditions for Starobinsky inflation in general quadratic gravity
In general quadratic gravity with alpha = -10 beta, Starobinsky inflation remains reachable from a nonzero band of initial conditions, though the basin shifts from expanding to contracting starts as shear increases.