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arXiv · 2110.00556

1D Supergravity FLRW Model of Starobinsky

N. E. Martínez-Pérez·C. Ramírez·V. Vázquez-Báez
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Abstract

We study two homogeneous supersymmetric extensions for the $f(R)$ modified gravity model of Starobinsky with the FLRW metric. The actions are defined in terms of a superfield $\mathcal{R}$ 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 $R^2$ 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.

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N. E. Martínez-Pérez, C. Ramírez, V. Vázquez-Báez. 2021-10-01. 1D Supergravity FLRW Model of Starobinsky. https://doi.org/10.3390/universe7110449

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