Local stability of static self-similar relativistic discs against axisymmetric perturbations. (English) Zbl 0673.76131
Summary: A stability analysis against axisymmetric perturbations for counter- rotating discs is provided. These discs have equal numbers of particles moving in each sense of rotation. The space-time they create is static and self-similar. The classic stability criterion valid for Newtonian systems is generalized straightforwardly to these relativistic systems. A relativistic criterion derived from a proper relativistic analysis is also given. The results for both criteria are compared.
MSC:
76Y05 | Quantum hydrodynamics and relativistic hydrodynamics |
83C55 | Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
83F05 | Relativistic cosmology |