Farewell to Cotton gravity

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arxiv 2401.16008 v2 pith:Y7BOHQBX submitted 2024-01-29 gr-qc

Gérard Clément , Khireddine Nouicer This is my paper · ORCID

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keywords cottongravitycodazzifarewellparametrizationproofreformulateterms

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We reformulate our proof of the under-determination of Cotton gravity in terms of the Codazzi parametrization.

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Generalized Vaidya Spacetime in Cotton and Conformal Killing Theories
gr-qc 2025-08 conditional novelty 6.0 of 10

Cotton Gravity and Conformal Killing Gravity are shown to admit generalized Vaidya solutions with extra geometric r-squared and r-cubed terms, but several displayed formulas have internal inconsistencies.
Non-Vacuum Solutions in Cotton Theory
gr-qc 2024-12 conditional novelty 5.0 of 10

Cotton theory admits generalized Kiselev and Dymnikova black hole metrics that add geometric linear and quadratic terms to the known general-relativistic solutions.