Criterion for the instability of a uniformly rotating configuration in general relativity

Chandrasekhar, S. ; Friedman, John L. (1971) Criterion for the instability of a uniformly rotating configuration in general relativity Physical Review Letters, 26 (17). pp. 1047-1050. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v26/i17/p1047_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.26.1047

Abstract

Uniformly rotating configurations in general relativity are considered, and a condition is obtained that they can be quasistatically deformed without violating any of the requirements for equilibrium. This condition extends, into the domain of the rotating stars, the criterion for the onset of dynamical instability (via a neutral mode of oscillation) that occurs by radial pulsations in nonrotating stars.

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