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    Perturbative emergent modified gravity on cosmological backgrounds: Kinematics

    Martin Bojowald*

    Manuel Díaz†

    Erick I. Duque‡

    • *Contact author: bojowald@psu.edu
    • †Contact author: manueldiaz@umass.edu
    • ‡Contact author: eqd5272@psu.edu

    Phys. Rev. D 113, 084061 – Published 28 April, 2026

    DOI: https://doi.org/10.1103/jwr9-48vn

    Abstract

    Emergent modified gravity has shown that the canonical formulation of general relativity gives rise to a larger class of covariant modifications than action-based approaches, so far in symmetry-reduced models. This outcome is made possible by distinguishing between the spacetime metric on a given solution, and the basic field degrees of freedom in which equations of motion are formulated. In this general treatment, the metric is no longer fundamental but emerges after field equations and covariance conditions are solved. Here, the results are extended to perturbative inhomogeneity on a spatially flat cosmological background, showing that new modifications are possible while maintaining the classical derivative order and setting the stage for dynamical equations suitable for detailed studies of early-universe models.

    Physics Subject Headings (PhySH)

    See Also

    Singularities in loop quantum cosmology

    Martin Bojowald, Manuel Díaz, and Erick I. Duque
    Phys. Rev. D 113, 084060 (2026)

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