On Einstein's stationary spherically symmetric cluster of particles
- 1 May 1974
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 7 (7) , 838-842
- https://doi.org/10.1088/0305-4470/7/7/009
Abstract
It is shown that Einstein equations allow a special class of stationary solutions which correspond to spherically symmetric clusters of particles in circular motions, the total angular momentum of the cluster being zero, and all orbits being performed with the same period. The mass density of such clusters is everywhere regular and positive, decreasing with increasing radius.Keywords
This publication has 1 reference indexed in Scilit:
- On a Stationary System With Spherical Symmetry Consisting of Many Gravitating MassesAnnals of Mathematics, 1939