The gravito-electromagnetic approximation to the gravimagnetic dipole and its velocity rotation curve

In view of the observed flat rotation curves of spiral galaxies and motivated by the simple fact that within Newtonian gravity a stationary axisymmetric mass distribution or dark matter vortex of finite extent readily displays a somewhat flattened out velocity rotation curve up to distances comparable to the extent of such a vortex transverse to the galaxy's disk, the possibility that such a flattening out of rotation curves may rather be a manifestation of some stationary axisymmetric space-time curvature of purely gravitational character, without the need of some dark matter particles, is considered in the case of the gravimagnetic dipole carrying opposite Newman-Unti-Tamburino charges and in the tensionless limit of its Misner string, as an exact vacuum solution to Einstein's equations. Aiming for a first assessment of the potential of such a suggestion easier than a full-fledged study of its geodesics, the situation is analysed within the limits of weak field gravito-electromagnetism and nonrelativistic dynamics. Thereby leading indeed to interesting and encouraging results.

Automated summary

Considering the observed flat rotation curves of spiral galaxies, it is suggested that the flattening may be a result of a stationary axisymmetric spacetime curvature without the need for dark matter particles. This possibility is explored in the case of a gravimagnetic dipole and its tensionless Misner string as an exact vacuum solution to Einstein's equations. By analyzing the situation within the limits of weak field gravito-electromagnetism and nonrelativistic dynamics, interesting and encouraging results are obtained.