Local stability of static self-similar relativistic discs against axisymmetric perturbations

Details Local stability of static self-similar relativistic discs against axisymmetric perturbations Local stability of static self-similar relativistic discs against axisymmetric perturbations

Aug 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.239..687l&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 239, Aug. 1, 1989, p. 687-701. Research supported by CN

Astronomy and Astrophysics

Astronomy

3

Counter Rotation, Dynamic Stability, Perturbation, Relativistic Effects, Rotating Disks, Einstein Equations, Gravitational Effects, Hydrodynamics, Secular Variations, Viscosity

Scientific paper

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.

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