Deutsch
 
Hilfe Datenschutzhinweis Impressum
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Zeitschriftenartikel

General Variational Principle for Normal Modes of Rotating Stars

MPG-Autoren
/persons/resource/persons20673

Schutz,  Bernard F.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Externe Ressourcen
Es sind keine externen Ressourcen hinterlegt
Volltexte (beschränkter Zugriff)
Für Ihren IP-Bereich sind aktuell keine Volltexte freigegeben.
Volltexte (frei zugänglich)

APJ232.pdf
(Verlagsversion), 620KB

Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

Schutz, B. F. (1979). General Variational Principle for Normal Modes of Rotating Stars. Astrophysical Journal, 232(3), 874-877. doi:10.1086/157348.


Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0013-73E7-C
Zusammenfassung
A variational principle is constructed for the eigenfrequencies of the normal modes of perfect fluid stars which are axisymmetric, differentially rotating, but without meridional circulation. It is the first such principle to be capable of yielding the complex as well as the real eigenfrequencies. The key to the principle is the discovery of a simple way of turning a right eigenvector for a normal mode into a left one. This is based on a symmetry of the unperturbed star, that it is invariant under reflection in time and azimuth. The variational expression also gives a new approach to approximating the linear perturbation problem by one restricted to a finite-dimensional set of trial functions. In cases where it differs from the more conventional approach, the new method should be more accurate.