Vanishing of Conserved Charges in Cotton Gravity
General Relativity and Quantum Cosmology
2025-01-15 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.2411.02132,
title = {Vanishing of Conserved Charges in Cotton Gravity},
author = {Emel Altas and Bayram Tekin},
journal= {arXiv preprint arXiv:2411.02132},
year = {2025}
}
Comments
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