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A simple $F({\cal R},\phi)$ deformation of Starobinsky inflationary model

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arxiv 1901.06296 v3 pith:NFAEKLQ2 submitted 2019-01-18 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords modelpotentialcasesfieldinflationaryrealscalarstarobinsky
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abstract

We study a model including a real scalar field $\phi$ non-minimally coupled to $F({\cal R})$ gravity, which is conformally equivalent to an Einstein-Hilbert theory, involving two real scalar fields. We consider three special cases of the potential of the field $\phi$ in the $F({\cal R})$-frame: a vanishing potential, a mass term and a Higgs potential. All these lead to non-trivial two-field potentials in the Einstein-frame which in particular directions resemble the well-known Starobinsky model. We find, that all these cases can yield viable inflationary models in complete agreement with current observational data.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The effective phase space and $e$-folding of the Starobinsky and extended Starobinsky model of inflation

    gr-qc 2025-01 conditional novelty 6.0 of 10

    Under the Remmen-Carroll measure, the expected total e-folds for Starobinsky inflation are only about 3.5 to 4 for observationally allowed field values.

  2. A complete analysis of inflation with piecewise quadratic potential

    astro-ph.CO 2024-12 conditional novelty 5.0 of 10

    A new parameter alpha governs the amplitude, slope, and dip of the curvature power spectrum in piecewise quadratic two-stage inflation, with maximum growth k^5(log k)^2.

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