Cotton gravity and 84 galaxy rotation curves
Junpei Harada

TL;DR
This paper investigates Cotton gravity, a generalization of general relativity, and demonstrates that it can explain galaxy rotation curves without dark matter by fitting a linear potential term to observational data of 84 diverse galaxies.
Contribution
The study derives effective field equations for Cotton gravity and applies them to real galaxy data, showing it can account for rotation curves solely with baryonic matter and a galaxy-specific parameter.
Findings
Cotton gravity can fit rotation curves without dark matter.
The linear potential term becomes significant at large distances.
Galaxy rotation curves are explained by baryonic matter and the parameter mma.
Abstract
Recently, as a generalization of general relativity, a gravity theory has been proposed in which gravitational field equations are described by the Cotton tensor. That theory allows an additional contribution to the gravitational potential of a point mass that rises linearly with radius as , where is the Newton constant. The coefficients and are the constants of integration and should be determined individually for each physical system. When applied to galaxies, the coefficient , which has the dimension of acceleration, should be determined for each galaxy. This is the same as having to determine the mass for each galaxy. If is small enough, the linear potential term is negligible at short distances, but can become significant at large distances. In fact, it may contribute to the extragalactic systems. In this paper, we…
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Taxonomy
TopicsGeophysics and Gravity Measurements · Solar and Space Plasma Dynamics · Cosmology and Gravitation Theories
