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Nonlinear Effective Theory of Dark Energy

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arxiv 1712.02782 v3 pith:BG3HA2TR submitted 2017-12-07 astro-ph.CO gr-qchep-ph

classification astro-ph.COgr-qchep-ph
keywords nonlinearorderapproachbeyonddarkderiveenergyequation
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We develop an approach to parametrize cosmological perturbations beyond linear order for general dark energy and modified gravity models characterized by a single scalar degree of freedom. We derive the full nonlinear action, focusing on Horndeski theories. In the quasi-static, non-relativistic limit, there are a total of six independent relevant operators, three of which start at nonlinear order. The new nonlinear couplings modify, beyond linear order, the generalized Poisson equation relating the Newtonian potential to the matter density contrast. We derive this equation up to cubic order in perturbations and, in a companion article, we apply it to compute the one-loop matter power spectrum. Within this approach, we also discuss the Vainshtein regime around spherical sources and the relation between the Vainshtein scale and the nonlinear scale for structure formation.

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Forward citations

Cited by 5 Pith papers

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

  1. Cosmic voids evolution in modified gravity via hydrodynamics

    astro-ph.CO 2026-02 conditional novelty 6.0 of 10

    Voids in luminal Galileon gravity are always unscreened, and a reality requirement on the fifth force rules out ~82% of the favored parameter space, yielding a redshift-dependent minimum void depth.

  2. Nonlinear reconstruction of general dark energy theories

    astro-ph.CO 2025-07 conditional novelty 6.0 of 10

    A reconstruction method is derived that turns background expansion and linear perturbation data into full non-linear Lagrangians for quintessence, scalar-tensor, k-essence, and shift-symmetric cubic Galileon dark ener...

  3. hi_class: Background Evolution, Initial Conditions and Approximation Schemes

    astro-ph.CO 2019-09 accept novelty 6.0 of 10

    hi_class now evolves the background from covariant Horndeski Lagrangians, provides consistent radiation-era initial conditions for scalar perturbations, and applies a quasi-static approximation automatically where it is safe.

  4. Positivity in the effective field theory of cosmological perturbations

    hep-th 2019-08 conditional novelty 6.0 of 10

    For a c_T=1 beyond-Horndeski EFT of cosmological perturbations, positivity bounds including H^2/Λ^2 corrections are derived and applied to slow-roll inflation.

  5. An efficient one-loop EFTofLSS framework for Vainshtein-screened Horndeski gravity

    astro-ph.CO 2026-07 accept novelty 5.0 of 10

    A faster ODE-based PyBird extension enables exact-time one-loop EFTofLSS analyses of Vainshtein-screened Horndeski gravity and tightens EFTofDE amplitude constraints with BOSS full-shape data.

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