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    Note on conserved currents in static conformal Killing gravity

    Carlo Alberto Mantica* and Luca Guido Molinari†

    • *Contact author: carlo.mantica@mi.infn.it
    • †Contact author: luca.molinari@mi.infn.it

    Phys. Rev. D 112, 024070 – Published 29 July, 2025

    DOI: https://doi.org/10.1103/rqdw-xgsg

    Abstract

    Conserved currents are discussed for static conformal Killing gravity, with explicit expressions in static spherical symmetry with anisotropic matter fluid or coupled to (non)linear electromagnetism. They are found in the reformulation of the third order equations by Harada as Einstein equations with sources supplemented by a divergence-free anisotropic conformal Killing tensor. A conserved current proposed by Altas and Tekin is also evaluated, and found nonzero for the vacuum solution by Harada.

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