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Quintessential inflation in Palatini $f(R)$ gravity

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arxiv 2012.06831 v3 pith:GTFON6UF submitted 2020-12-12 gr-qc astro-ph.COhep-phhep-th

classification gr-qcastro-ph.COhep-phhep-th
keywords gravityinflationmodifiedpalatiniquintessencequintessentialapproximatelycase
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abstract

We investigate in detail a family of quintessential inflation models in the context of $R+R^2$ Palatini modified gravity. We find that successful inflation and quintessence are obtained with an inflaton scalar potential that is approximately quadratic in inflation and inverse quartic in quintessence. We show that corrections for the kination period due to Palatini modified gravity are subdominant, while the setup does not challenge constraints on modified gravity from solar system observations and microscopic experiments, in contrast to the metric case. We obtain concrete predictions regarding primordial tensors, to be probed in the near future.

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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. Post-Inflationary Constraints on Nonminimally Coupled Quintessential Inflation

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Gravitational-wave constraints on the reheating temperature rule out single-exponential nonminimally coupled quintessential inflation and require a double-exponential coupling that predicts thawing dark energy with w0...

  2. Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models

    gr-qc 2025-12 conditional novelty 5.0 of 10

    Adding cubic Holst-invariant terms to F(R,R̃) Einstein-Cartan inflation models systematically lowers the predicted spectral index n_s and tensor-to-scalar ratio r, restoring data compatibility in parameter regions whe...

  3. 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.

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