Abstract
view Abstract Citations (8) References (16) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Local stability in general relativity Kandrup, H. E. Abstract This paper presents a unified treatment of the problem of local adiabatic stability for stationary, axisymmetric, perfect fluid configurations in general relativity. Criteria for both dynamical and secular stability are obtained via energy principles, without reference to the existence of normal modes. In general, the criteria that obtain are straightforward generalizations of Newtonian results. However, one new purely relativistic effect does arise: if Eulerian variations in pressure cannot be neglected, there exists the possibility of an additional secular instability toward viscosity unless one imposes a 'causality' assumption, namely that the velocity of sound be less than unity. Publication: The Astrophysical Journal Pub Date: April 1982 DOI: 10.1086/159868 Bibcode: 1982ApJ...255..691K Keywords: Dynamic Stability; Flow Stability; Hydrodynamics; Ideal Fluids; Relativity; Adiabatic Conditions; Newtonian Fluids; Perturbation Theory; Secular Variations; Physics (General) full text sources ADS |
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