Vanishing of Conserved Charges in Cotton Gravity
arXiv:2411.02132 · doi:10.1103/PhysRevD.111.L021503
Abstract
Cotton gravity was recently introduced as a higher derivative extension of General Relativity. The field equations of the theory involve the rank-3 Cotton tensor. Here we show that all solutions of the theory, including the black holes, have vanishing conserved charges, i.e. mass and angular momentum. This result implies that either the theory is unphysical since all the black holes carry the charges of the vacuum and can be created at no energy cost, or the theory has confinement of mass/energy and all other conserved quantities.
7 pages, 1 figure, dedicated to the memory of Prof. Dr. I. Ferit Oktem (1928-2024), one of the first researchers to write papers on relativity from Turkey
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Cited by in corpus (4)
- Black Hole Thermodynamics in Harada's inspired theory of gravity: Stability, Phase Structure and Geometrothermodynamics
- Consistency Problems of Conformal Killing Gravity
- Black hole solutions in Cotton gravity coupled to nonlinear electrodynamics
- Generalized Vaidya Spacetime in Cotton and Conformal Killing Theories