On the non-radial oscillations of a star. II - Further amplifications

Details On the non-radial oscillations of a star. II - Further amplifications On the non-radial oscillations of a star. II - Further amplifications

Sep 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991rspsa.434..635c&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 434, no. 1892, Sept. 9

Mathematics

Complex Variables

18

Complex Variables, Gravitational Waves, Stellar Oscillations, Algorithms, Boundary Conditions, Differential Equations, Linear Equations

Scientific paper

The two algorithms for determining the complex characteristic frequencies sigma = sigma0 + (i) (sigmai), belonging to the quasi-normal modes of oscillations of a star, are shown to be equivalent. In the first algorithm, a search is made directly in the complex sigma-plane to satisfy the requirement that at infinity there are only outgoing waves (and no incoming waves). In the second algorithm, only real sigmas are used, and the solution with the minimum flux of gravitational radiation at infinity is selected.

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