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Constant-Roll Inflation in modified f(R,φ) gravity model using Palatini Formalism

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arxiv 2212.00472 v1 pith:P3JVMQ2D submitted 2022-12-01 gr-qc

Constant-Roll Inflation in modified f(R,φ) gravity model using Palatini Formalism

Sukanta Panda , Arun Rana , Rahul Thakur This is my paper
classification gr-qc
keywords constant-rollpalatinifieldformformalismgravitymodelmodified
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In this work, we study a constant-roll inflationary model in the Palatini formalism using modified gravity. Here our action consists a non-minimal coupling of a scalar field $\phi$ with Ricci scalar $R$ in a general form of $f(R,\phi)$. Using Palatini approach, we write its equivalent scalar-tensor form in the Einstein frame and then apply the constant-roll condition in the equation of motion for the inflaton field. Later the tensor-to-scalar ratio and the spectral index are calculated using the slow-roll parameters and the results obtained are matched with the Planck 2018 data. We found that the results agree nicely with the observations within the parameter regime under consideration.

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Cited by 3 Pith papers

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

  1. Constant-Roll Inflation: Analytical Formulae for Power Spectrum and Implications for Induced Gravitational Waves

    astro-ph.CO 2026-06 unverdicted novelty 6.0

    Analytical formulae for power spectrum peaks in constant-roll inflation enable parameter reconstruction from peak features and smoothed approximations for induced gravitational wave estimates.

  2. Constant-roll $\beta$-exponential inflation: Palatini formalism

    gr-qc 2026-01 reject novelty 4.0

    A parameter scan of constant-roll β-exponential inflation in Palatini R² gravity claims agreement with ACT/Planck contours, but the derivation is undermined by algebraic sign errors and an absent non-Gaussianity calculation.

  3. The Wave Function of the Universe and Inflation

    gr-qc 2025-10 reject novelty 3.0

    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...