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.
Oscillatory behavior of closed isotropic models in second order gravity theory
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Homogeneous and isotropic models are studied in the Jordan frame of the second order gravity theory. The late time evolution of the models is analysed with the methods of the dynamical systems. The normal form of the dynamical system has periodic solutions for a large set of initial conditions. This implies that an initially expanding closed isotropic universe may exhibit oscillatory behaviour.
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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.