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- W4297628925 abstract "We investigate the Cartan formalism in $F(R)$ gravity. $F(R)$ gravity has been introduced as a theory to explain cosmological accelerated expansion by replacing the Ricci scalar $R$ in the Einstein-Hilbert action with a function of $R$. As is well-known, $F(R)$ gravity is rewritten as a scalar-tensor theory by using the conformal transformation. Cartan $F(R)$ gravity is described based on the Riemann-Cartan geometry formulated by the vierbein. In the Cartan formalism, the Ricci scalar $R$ is divided into two parts, one derived from the Levi-Civita connection and the other from the torsion. Assuming the spin connection independent matter action, we have successfully rewritten the action of Cartan $F(R)$ gravity into the Einstein-Hilbert action and a scalar field with canonical kinetic and potential terms without any conformal transformations. The resulting scalar-tensor theory is useful in applying the usual slow-roll scenario. As a simple case, we employ the Starobinsky model and evaluate fluctuations in the cosmological microwave background radiation." @default.
- W4297628925 created "2022-09-30" @default.
- W4297628925 creator A5058332894 @default.
- W4297628925 creator A5066177154 @default.
- W4297628925 date "2022-04-04" @default.
- W4297628925 modified "2023-09-30" @default.
- W4297628925 title "Cartan $F(R)$ Gravity and Equivalent Scalar-Tensor Theory" @default.
- W4297628925 doi "https://doi.org/10.48550/arxiv.2204.01255" @default.
- W4297628925 hasPublicationYear "2022" @default.
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