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Nearly Starobinsky inflation from modified gravity

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arxiv 1311.0744 v2 pith:Y2UQQ4IP submitted 2013-11-04 gr-qc astro-ph.COhep-th

L. Sebastiani , G. Cognola , R. Myrzakulov , S.D. Odintsov , S. Zerbini This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords inflationscalarcorrectionsframegeneraljordancosmologicalcurvature
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abstract

We study inflation induced by (power-low) scalar curvature corrections to General Relativity. The class of inflationary scalar potentials $V(\sigma)\sim\exp[n\,\sigma]$, $n$ general parameter, is investigated in the Einsein frame and the corresponding actions in the Jordan frame are derived. We found the conditions for which these potentials are able to reproduce viable inflation according with the last cosmological data and lead to large scalar curvature corrections which emerge only at a mass scale larger than the Planck mass. Cosmological constant may appear or be set equal to zero in the Jordan frame action without changing the behaviour of the model during inflation. Moreover, polynomial corrections to General Relativity are analyzed in detail. When de Sitter space-time emerges as an exact solution of the models, it is necessary to use perturbative equations in the Jordan framework to study their dynamics during the inflation. In this case, we demonstrate that the Ricci scalar decreases after a correct amount of inflation, making the models consistent with the observable evolution of the universe.

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Cited by 5 Pith papers

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

  1. Robustness of Starobinsky inflation in a minimal two-field scalar-tensor completion

    gr-qc 2026-04 unverdicted novelty 6.0 of 10

    Nearby trajectories in a minimal two-field scalar-tensor completion of Starobinsky inflation relax to an attractor where entropy sourcing is negligible, so observables remain effectively Starobinsky-like.

  2. 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.

  3. The Preheating Stage on The Starobinsky Inflation after ACT

    gr-qc 2025-07 reject novelty 4.0 of 10

    Starobinsky inflation needs an extra spectator scalar to preheat efficiently, and the paper fits its mass, coupling, and momentum to reach a reheating temperature near 10^14 GeV after ACT.

  4. The Wave Function of the Universe and Inflation

    gr-qc 2025-10 reject novelty 3.0 of 10

    Rearranging the Wheeler-DeWitt equation defines the inflaton potential in terms of an arbitrary wave-function phase and amplitude; nothing constrains that wave function, so the potential is relabeled rather than deriv...

  5. Inflationary observables in $F(R)$ gravity

    gr-qc 2024-12 reject novelty 3.0 of 10

    For a quartic f(R) inflation model, two solutions predict tensor-to-scalar ratios around 0.0005 to 0.0015, which are consistent with Planck and BICEP/Keck bounds but below current detection limits.

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