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Tracing the high energy theory of gravity: an introduction to Palatini inflation

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arxiv 2001.10135 v2 pith:3LOY5WRJ submitted 2020-01-28 astro-ph.CO gr-qchep-ph

classification astro-ph.COgr-qchep-ph
keywords inflationgravitymetricgravitationaltheorycasecosmicfuture
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abstract

We present an introduction to cosmic inflation in the context of Palatini gravity, which is an interesting alternative to the usual metric theory of gravity. In the latter case only the metric $g_{\mu\nu}$ determines the geometry of space-time, whereas in the former case both the metric and the space-time connection $\Gamma^\lambda_{\mu\nu}$ are a priori independent variables - a choice which can lead to a theory of gravity different from the metric one. In scenarios where the field(s) responsible for cosmic inflation are coupled non-minimally to gravity or the gravitational sector is otherwise extended, assumptions of the underlying gravitational degrees of freedom can have a big impact on the observational consequences of inflation. We demonstrate this explicitly by reviewing several interesting and well-motivated scenarios including Higgs inflation, $R^2$ inflation, and $\xi$-attractor models. We also discuss some prospects for future research and argue why $r=10^{-3}$ is a particularly important goal for future missions that search for signatures of primordial gravitational waves.

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Cited by 4 Pith papers

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

  1. Inflation with nondynamic distortion to leading order in slow roll

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    Nondynamic distortion integrated out of a 13-parameter metric-affine action sources the entire inflaton kinetic term; monomial models depend only on exponent ratio while α-attractors recover modified Starobinsky observables.

  2. Kinetically Modified Palatini Inflation Meets ACT Data

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Palatini chaotic inflation with kinetic mixing f_K = f_R^m can shift the predicted spectral index up to the ACT DR6 value n_s = 0.974 while keeping r below current bounds.

  3. Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6

    hep-ph 2026-02 unverdicted novelty 5.0 of 10

    A Palatini-supergravity Higgs-inflation model with induced gravity predicts a scalar spectral index ns≈0.972-0.974, consistent with ACT DR6, and favors split supersymmetry with gravitino mass 40-60 PeV.

  4. 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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