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    How deep can a cosmic void be? Voids-informed theoretical bounds in Galileon gravity

    Tommaso Moretti1,2,*, Noemi Frusciante1,2, Giovanni Verza3,4, and Francesco Pace5,6,7

    • *Contact author: tommaso.moretti.pv@gmail.com

    Phys. Rev. D 113, 103510 – Published 6 May, 2026

    DOI: https://doi.org/10.1103/nk9f-dw1z

    Abstract

    We establish a void-based consistency test for Galileon scalar-tensor theories. We show that the previously reported unphysical breakdown of the predicted Newtonian force in certain Galileon models is controlled by a single condition linking nonlinear void dynamics to the cosmic expansion history. This connection yields a redshift-dependent upper bound on the allowed depth of voids and promotes this requirement to a new viability condition, complementary to standard stability criteria. As an example, we apply this void-based criterion to a linear parametrization in the scale factor constrained by theoretical and observational bounds; we find that ∼60% of the parameter space is excluded, with most problematic models failing by z≲10. These results position cosmic voids as sharp, complementary, and theory-informed filters for viable modified gravity, enabling more informed priors and parameter-space choices in future cosmological inference.

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