Spherically symmetric linear perturbations of electrically counterpoised dust. (English) Zbl 1479.83047
Summary: We consider spherically symmetric linear perturbations of static spherically symmetric spacetimes where the matter content is electrically counterpoised dust. We show that the evolution equation for the fluid perturbation implies that the fluid elements move with constant velocities. Therefore there are neither oscillations nor exponential departure from the background solution. We present an explicit example showing that the perturbation could lead to the formation of a black hole.
MSC:
| 83C40 | Gravitational energy and conservation laws; groups of motions |
| 83C55 | Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
| 76T15 | Dusty-gas two-phase flows |
| 83C50 | Electromagnetic fields in general relativity and gravitational theory |
| 35B20 | Perturbations in context of PDEs |
Keywords:
electrically counterpoised dust; linear perturbations; static spherically symmetric spacetimesSoftware:
SageMathReferences:
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