Normal modes of a model radiating system

Details Normal modes of a model radiating system Normal modes of a model radiating system

Sep 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..913k&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 18, Sept. 1986, p. 913-921. Research supported by the University of Sa

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40

Gravitation Theory, Gravitational Waves, Propagation Modes, Stellar Oscillations, Wave Propagation, Coupled Modes, Eigenvectors, Propagation Velocity, Vibration Damping

Scientific paper

In order to gain insight into normal modes of realistic radiating systems, the simple model problem of a finite string and a semiinfinite string coupled by a spring is studied. As expected there is a family of modes which are basically the modes of the finite string slowly damped by the 'radiation' of energy to infinity on the semiinfinite string. But also studied is another family of modes, found by Dyson in a different model problem, which are strongly damped modes of the semiinfinite string itself. These may be analogous to the modes of black holes, and they are likely to be present in relativistic stars as well. The question of whether the instability in these modes which Dyson found is present in realistic stars remains open.

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