Rigid rotation in GR and a generalization of the virial theorem for gravitomagnetism

Abstract In this work we study the properties of rigidly rotating neutral dust solutions in general relativity. This class gained relevance recently due to applications dynamics spiral galaxies. We show that could be interpreted as a “rigid body” relativity and analyze different respect disk special relativity: for example, relativistic counterpart shows no Doppler effect light signal emitted received from any two points at rest body”. can important test validity assumed model our galaxy. second part approach problem low energy expansion perspective write down generalization virial theorem stationary spacetimes. The non-Newtonian contributions lead re-weighting dark matter