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Beyond the Starobinsky model for inflation

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arxiv 2002.07981 v3 pith:CV46OK2M submitted 2020-02-19 hep-ph gr-qchep-th

Beyond the Starobinsky model for inflation

classification hep-ph gr-qchep-th
keywords termmodelstarobinskycurvatureinflationadditionalaffectedattractors
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We single out the Starobinsky model and its extensions among generic $f(R)$ gravity as attractors at large field values for chaotic inflation. Treating a $R^3$ curvature term as a perturbation of the Starobinsky model, we impose the phenomenological bounds on the additional term satisfying the successful inflationary predictions. We find that the scalar spectral index can vary in both the red or blue tilted direction, depending on the sign of the coefficient of the $R^3$ term, whereas the tensor-to-scalar ratio is less affected in the Planck-compatible region. We also discuss the role of higher order curvature term for stability and the reheating dynamics for the unambiguous prediction for the number of efoldings up to the $R^3$ term.

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Cited by 5 Pith papers

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

  1. Cosmological higher-curvature gravities

    gr-qc 2023-11 unverdicted novelty 7.0

    Higher-curvature gravities are constructed in which both FLRW backgrounds and linearized scalar perturbations obey at most second-order differential equations.

  2. Unstable de Sitter inflationary solution in sixth-order gravity

    gr-qc 2026-07 conditional novelty 6.0

    For the sixth-order gravity action (2.1), the exact FLRW de Sitter solution is unstable whenever 3γ1+γ2<0, while the second-order limit admits a stable de Sitter attractor.

  3. ACT stands for Awkward Cosmology Theories

    hep-ph 2026-07 accept novelty 6.0

    Reconciling Starobinsky inflation with ACT data requires fine-tuned higher-curvature scales, stiff reheating with ω_reh>1/3, or negative-energy towers, all hard to motivate from UV completions.

  4. Superhorizon curvature perturbations in hybrid inflation revisited

    astro-ph.CO 2026-06 conditional novelty 6.0

    Hybrid inflation's waterfall tachyonic instability grows isocurvature modes that convert to curvature perturbations at the field-space turn, yielding a k^{3}-peaked spectrum with always-positive f_NL that enhances PBH...

  5. Superhorizon curvature perturbations in hybrid inflation revisited

    astro-ph.CO 2026-06 unverdicted novelty 5.0

    Hybrid inflation produces enhanced curvature perturbations with a broad power spectrum peak featuring k^3 infrared growth and positive f_NL fixed by tachyonic waterfall geometry, potentially accounting for PBH dark ma...