Details

Autor(en) / Beteiligte

• FINN, L. S

Titel

Relativistic stellar pulsations in the Cowling approximation

Ist Teil von

• Monthly notices of the Royal Astronomical Society, 1988-05, Vol.232 (2), p.259-275

Ort / Verlag

Oxford, UK: Oxford University Press

Erscheinungsjahr

1988

Link zum Volltext

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• Much that is known about the general pulsational properties of non-rotating Newtonian stars is traceable to the fact that in the Cowling approximation, the stellar pulsation equations can be cast in a nearly Sturm–Liouville form. In this paper, the relativistic Cowling approximation (an approximation scheme first introduced by McDermott, Van Horn & Scholl and analogous to the Newtonian Cowling approximation) is investigated, and it is shown that in this approximation the equations for non-radial relativistic stellar pulsations are also of nearly Sturm–Liouville character. The consequences of this are discussed as a series of theorems regarding the eigenfrequencies and eigenfunctions of g-, f- and p-modes in relativistic stars.