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    Consistent initial conditions for early modified gravity in effective field theory

    Jiaming Pan1,*, Meng-Xiang Lin2,†, Gen Ye3, Marco Raveri4, and Alessandra Silvestri3

    • 1Department of Physics and Leinweber Center for Theoretical Physics, University of Michigan, 450 Church Street, Ann Arbor, Michigan 48109, USA
    • 2Center for Particle Cosmology, Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
    • 3Institute Lorentz, Leiden University, PO Box 9506, Leiden 2300 RA, The Netherlands
    • 4Department of Physics and INFN, University of Genova, Via Dodecaneso 33, 16146, Italy

    • *Contact author: jiamingp@umich.edu
    • †Contact author: mxlin@sas.upenn.edu

    Phys. Rev. D 112, 083551 – Published 27 October, 2025

    DOI: https://doi.org/10.1103/zqkg-3kkh

    Abstract

    Precise initial conditions (ICs) are crucial for accurate computation in cosmological perturbation theory. We derive the consistent ICs for Horndeski theory in the effective field theory (EFT) approach, assuming constant EFT functions at early times. We implement the ICs into the public Boltzmann code eftcamb, and demonstrate that the expected early-time behavior of perturbations and Weyl potential can be obtained with theory-consistent modified gravity (MG) ICs. We identify significant deviations when comparing cosmic microwave background angular power spectra in MG models obtained with consistent MG ICs versus inconsistent GR ICs. Our findings underline the importance of using accurate, theory-consistent MG ICs to ensure robust cosmological constraints on early MG models.

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