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Response to a critique of "Cotton Gravity"

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arxiv 2401.10479 v2 pith:J4UZD3SI submitted 2024-01-19 gr-qc astro-ph.CO

Roberto A Sussman , Carlo Alberto Mantica , Luca Guido Molinari , Sebastián Nájera This is my paper · ORCID
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keywords cottongravitytheoryarticlecritiquevacuumaddressalternative
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We address in this article the criticism in a recently submitted article by Clement and Noiucer (arXiv:2312.17662 [gr-qc]) on "Cotton Gravity" (CG), a gravity theory alternative to General Relativity. These authors claim that CG is "not predictive" for producing "too many" spherically symmetric vacuum solutions, while taking the Bianchi I vacuum as test case they argue that geometric constraint on the Cotton tensor lead to an undetermined problem, concluding in the end that CG "is not a physical theory". We provide arguments showing that this critique is incorrect and misrepresents the theory.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Thermodynamic formulation of Cotton gravity in the Codazzi parametrization

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    Horizon entropy in Cotton gravity is Bekenstein-Hawking plus a Codazzi correction whose sign diagnoses ordinary, vacuum, or phantom matter content.

  2. 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.

  3. Black Hole Thermodynamics in Harada's inspired theory of gravity: Stability, Phase Structure and Geometrothermodynamics

    gr-qc 2025-05 conditional novelty 5.0 of 10

    In Conformal Killing Gravity, the extra λ term changes black hole stability, heat capacity, and thermodynamic curvature, creating phase structures absent from general relativity.

  4. 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.

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