Gravitoelectromagnetism and stellar orbits in galaxies
Abstract
Beyond the Newtonian approximation, gravitational fields in general relativity can be described using a formalism known as gravitoelectromagnetism. In this formalism, a vector potential, the gravitomagnetic potential, arises as a result of moving masses, in strong analogy with the magnetic force due to moving charges in Maxwell’s theory. Gravitomagnetism can affect orbits in the gravitational field of a massive, rotating body. This raises the possibility that gravitomagnetism may serve as the dominant physics behind the anomalous rotation curves of spiral galaxies, eliminating the need for dark matter. In this essay, we methodically work out the magnitude of the gravitomagnetic equivalent of the Lorentz force and apply the result to the Milky Way. We find that the resulting contribution is too small to produce an observable effect on these orbits. We also investigate the impact of cosmological boundary conditions on the result and find that these, too, are negligible.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 October 2021
 DOI:
 10.1142/S0218271821501029
 arXiv:
 arXiv:2109.00357
 Bibcode:
 2021IJMPD..3050102T
 Keywords:

 Gravitation;
 gravitoelectromagnetism;
 galaxy rotation curves;
 04.20.−q;
 04.30.−w;
 04.80.Nn;
 Gravitational wave detectors and experiments;
 General Relativity and Quantum Cosmology;
 Astrophysics  Astrophysics of Galaxies
 EPrint:
 5 pages, no figures (accepted for publication in Int. J. Mod. Phys. D)