General relativistic analysis of structure and stability of charged fluid disks around compact objects
Abstract
In this paper a detailed general relativistic formulation is given of the study of structure and stability of charged fluid disks around compact objects like black holes neglecting the self-gravitation of the disk itself. Having presented the general equations for equilibrium as well as for perturbations, the cases of rigidly and differentially rotating thin disks, with constant charge density and zero pressure, confined to the equatorial plane of the black hole are solved explicitly. By using normal mode analysis, the stability of such disks under purely radial perturbations is analyzed, and it is found that the disks are generally stable.
- Publication:
-
Journal of Astrophysics and Astronomy
- Pub Date:
- March 1981
- DOI:
- 10.1007/BF02714239
- Bibcode:
- 1981JApA....2....1P
- Keywords:
-
- Black Holes (Astronomy);
- Dynamic Stability;
- Perturbation Theory;
- Relativity;
- Rotating Fluids;
- Electromagnetic Radiation;
- Equatorial Regions;
- Equilibrium Equations;
- Mass Transfer;
- Maxwell Equation;
- Steady State;
- Stellar Mass Accretion;
- Astrophysics