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Opening Pandora's box: Kundt solutions to Conformal Killing Gravity

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arxiv 2409.14353 v1 pith:XFMT55M4 submitted 2024-09-22 gr-qc math-phmath.MP

classification gr-qcmath-phmath.MP
keywords solutionskundtconformalconstantdimensionsfindgravitykilling
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We consider Kundt solutions to vacuum Conformal Killing Gravity (CKG) proposed by Harada and find numerous solutions in four dimensions and in higher dimensions. In CKG theory the cosmological constant appears as an integration constant, and hence, is naturally embedded in the theory. However, by considering Kundt solutions to CKG we seemingly open Pandora's box: We find so many solutions so a selection criterium is needed in CKG to explain the current accelerated expansion of the universe.

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Cited by 1 Pith paper

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  1. Consistency Problems of Conformal Killing Gravity

    gr-qc 2025-02 conditional novelty 6.0 of 10

    Conformal Killing Gravity has no well-defined conserved charges for black holes, so the mass parameter in its Schwarzschild solution cannot be given a physical meaning.

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