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Inflationary Perturbations in Palatini Generalised Gravity

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arxiv 1010.0689 v1 pith:XMCAWRD4 submitted 2010-10-04 gr-qc astro-ph.COhep-th

Nicola Tamanini , Carlo R. Contaldi This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords perturbationstheoriescurvaturegeneralisedgravityinflationarypalatiniresult
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We examine the generation of primordial perturbations during an inflationary epoch in generalised theories of gravity when the equations of motion are derived using the Palatini variational principle. Both f(R) and Scalar-Tensor theories are considered and we compare our results with those obtained under the conventional metric formalism. Non-linear generalisations of the action lead to different theories under the two variational choices and we obtain distinct results for scalar and tensor spectral indices and their ratio. We find the following general result; inflation driven solely by f(R) modifications alone do not result in suitable curvature perturbations whilst Scalar-Tensor theories generate nearly scalar invariant curvature perturbations but no tensor modes.

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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. $\tilde\xi$-attractors in metric-affine gravity

    gr-qc 2024-11 conditional novelty 5.0 of 10

    A new class of metric-affine inflationary models, the ξ-tilde-attractors, reproduces Starobinsky inflation as a universal attractor in two strong-coupling limits.

  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. Quadratic, Higgs and hilltop potentials in the Palatini gravity

    astro-ph.CO 2019-08 conditional novelty 4.0 of 10

    In Palatini gravity, quadratic inflation matches CMB data only for small nonminimal coupling and efficient reheating, while hilltop potentials match only below the vacuum expectation value with tiny coupling.

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