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Brane Constant-roll Inflation

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arxiv 2004.12137 v3 pith:KAE4NI4J submitted 2020-04-25 gr-qc

Abolhassan Mohammadi , Tayeb Golanbari , Salah Nasri , Khaled Saaidi This is my paper · ORCID
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The scenario of constant-roll inflation in the frame of the RSII brane gravity model is considered. Based on the scenario, the smallness of the second slow-roll parameter is released and it is assumed as a constant which could be of the order of unity. Applying the Hamilton-Jacobi formalism, the constancy of the parameter gives a differential equation for the Hubble parameter which leads to an exact solution for the model. Reconsidering the perturbation equations we show there are some modified terms appearing in the amplitude of the scalar perturbations and in turn in the scalar spectral index and tensor-to-scalar ratio. Comparing the theoretical results of the model with observational data, the free parameters of the model are determined. Then, the consistency of the model with the swampland criteria is investigated for the obtained values of the free parameters. As the final step, the attractor behavior of the model is considered.

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Cited by 3 Pith papers

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

  1. Constraining Quintessential Inflation with ACT: A Gauss-Bonnet Gateway

    astro-ph.CO 2026-04 unverdicted novelty 4.5 of 10

    Exponential and sech Gauss–Bonnet couplings restore ACT-compatible ns and r for quintessential inflation, while tanh fails for a structural sign reason; reheating remains BBN-safe.

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

    gr-qc 2026-01 reject novelty 4.0 of 10

    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. Power Law Plateau Inflation and Primary Gravitational Waves in the light of ACT

    astro-ph.CO 2025-07 conditional novelty 4.0 of 10

    Power-law plateau inflation can sit inside the 1 sigma region of ACT DR6, but the reheating bound from gravitational waves forces the total number of e-folds N_k below about 62.

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