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A note on Harada's Conformal Killing gravity

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arxiv 2308.06803 v2 pith:P2VGEE5P submitted 2023-08-13 gr-qc

Carlo Alberto Mantica , Luca Guido Molinari This is my paper · ORCID
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keywords haradaconformalequationsgravitykillingordertensoraccelerating
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We show that "Gravity at cosmological distances: Explaining the accelerating expansion without dark energy" recently proposed by J. Harada [6] is equivalent to the Einstein equation extended by the presence of an arbitrary conformal Killing tensor. This turns Harada's equations of third order in the derivatives of the metric tensor to second order, and offers a simple strategy of solution that shortcuts Harada's derivation and obtains both modified Friedmann equations. An application is presented for the case of flat space and constant curvature.

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  1. Novel charged black hole solutions in conformal Killing gravity

    gr-qc 2025-02 conditional novelty 5.0 of 10

    Three new charged black hole spacetimes in conformal Killing gravity reproduce the Sgr A* shadow size after parameter tuning.

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