1D Supergravity FLRW Model of Starobinsky
arXiv:2110.00556 · doi:10.3390/universe7110449
Abstract
We study two homogeneous supersymmetric extensions for the modified gravity model of Starobinsky with the FLRW metric. The actions are defined in terms of a superfield that contains the FLRW scalar curvature. One model has N=1 local supersymmetry, and its bosonic sector is the Starobinsky action; the other action has N=2, its bosonic sector contains, in additional to Starobinsky, a massive scalar field without self-interaction. As expected, the bosonic sectors of these models are consistent with cosmic inflation, as we show by solving numerically the classical dynamics. Inflation is driven by the term during the large curvature regime. In the N=2 case, the additional scalar field remains in a low energy state during inflation. Further, by means of an additional superfield, we write equivalent tensor-scalar-like actions from which we can give the Hamiltonian formulation.
arXiv comment17 pages, 2 figures
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