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Nonminimal Derivative Couplings and Inflation in Generalized Theories of Gravity

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arxiv gr-qc/9906051 v1 pith:CW6X56AZ submitted 1999-06-15 gr-qc

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keywords couplingscosmologicalderivativefieldgravitynonminimaltheoriesattractor
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abstract

We study extended theories of gravity where nonminimal derivative couplings of the form $R^{kl}\phi_{, k}\phi_{, l}$ are present in the Lagrangian. We show how and why the other couplings of similar structure may be ruled out and then deduce the field equations and the related cosmological models. Finally, we get inflationary solutions which do follow neither from any effective scalar field potential nor from a cosmological constant introduced ``by hand'', and we show the de Sitter space--time to be an attractor solution.

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Cited by 2 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. Inflation with the Gauss-Bonnet term in the Palatini formulation

    astro-ph.CO 2026-03 accept novelty 5.0 of 10

    In Palatini gravity the inflaton–Gauss–Bonnet coupling yields a negative Chern–Simons-like kinetic correction and similar GW modifications, with metric-like behaviour unless the kinetic term nearly flips sign.

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