Computer Science – Sound
Scientific paper
Apr 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...255..691k&link_type=abstract
Astrophysical Journal, Part 1, vol. 255, Apr. 15, 1982, p. 691-704.
Computer Science
Sound
7
Dynamic Stability, Flow Stability, Hydrodynamics, Ideal Fluids, Relativity, Adiabatic Conditions, Newtonian Fluids, Perturbation Theory, Secular Variations
Scientific paper
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.
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