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Title:
On the stability of relativistic systems [ Erratum: 1978ApJ...222.1119F ]
Authors:
Friedman, J. L.; Schutz, B. F.
Affiliation:
AA(Yale University, New Haven, Conn.), AB(Yale University, New Haven, Conn.)
Publication:
Astrophysical Journal, vol. 200, Aug. 15, 1975, pt. 1, p. 204-220. (ApJ Homepage)
Publication Date:
08/1975
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
Dynamic Stability, Field Theory (Physics), Perturbation Theory, Relativistic Theory, Systems Stability, Astronomical Models, Hydrodynamic Equations, Radiative Transfer
DOI:
10.1086/153778
Bibliographic Code:
1975ApJ...200..204F

Abstract

Using methods applicable to all classical radiative field theories, a necessary and sufficient condition is derived for the onset of instability along a sequence of stationary equilibria in general relativity. A related result is that instability in any mode can set in only when its frequency vanishes. Astrophysical implications are briefly discussed.

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