http://arxiv.org/abs/2201.03959
In this work we study the properties of rigidly rotating neutral dust solutions in general relativity. This class of solutions gained relevance recently due to applications to the dynamics of spiral galaxies. We show that this class could be interpreted as a “rigid body” in general relativity and we analyze the different properties respect to the rigidly rotating disk in special relativity: for example, the general relativistic counterpart shows no Doppler effect for a light signal emitted and received from any two points at rest respect to the “rigid body”. In the second part we approach an analog problem from a low energy expansion perspective and we write down a generalization of the virial theorem for axysimmetric stationary spacetimes.
D. Astesiano
Wed, 12 Jan 22
57/89
Comments: 16 pages, 0 figures
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