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by rarefied_tomato 1920 days ago
After referencing that paper and a couple others, the new work says "... practically all the galactic rotation models so far are based on potential theory and the circular orbit concept in the Newtonian framework"

"In the present article a new model for the rotation curve of galaxies is developed including the effects associated with mass currents...

... It is shown that the inclusion of the gravitomagnetic field clarifies some inconsistencies of the standard potential theory."

1 comments

That's the wrong paragraph to cite. The parts relevant to Cooperstock's (and similar) work is this:

> Although filled with controversy, the studies of the galactic rotation via general relativity [16,17,18] reach the same basic conclusion of the present paper. Namely, the dragging effect of a gravitomagnetic component (time-space component of the metric) explains the flat rotation curve at large distances, without the recourse to dark matter. The main problem with the general relativistic models is the very limited number of exact solutions of the Einstein field equations [...]

> The calculated motion in the general relativistic approach corresponds to the free-fall of test particles in the assumed metric, without consistently considering the effect of the large galactic mass density distribution on the metric. Actually, this is the same objection that can be made to the classical approach [...]

> Fluid models, as used in the present paper, consider the mean motion of particles in the Vlasov-like collective gravitational field. The gravitoelectromagnetic weak field approximation to general relativity, used in the present paper, leads to a tractable self-consistent solution of the galactic rotation problem.

Citation [16] in particular is a reference to https://arxiv.org/abs/astro-ph/0610370