Open AccessThe oscillation and stability of differentially rotating spherical shells: the normal‐mode problem
Author(s) -
Watts A. L.,
Andersson N.,
Beyer H.,
Schutz B. F.
Publication year - 2003
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2003.06612.x
Subject(s) - physics , differential rotation , neutron star , oscillation (cell signaling) , gravitational wave , rotation (mathematics) , astrophysics , classical mechanics , binary number , differential (mechanical device) , stars , dynamical systems theory , simple (philosophy) , dynamics (music) , geometry , quantum mechanics , mathematics , arithmetic , biology , genetics , philosophy , epistemology , acoustics , thermodynamics
An understanding of the dynamics of differentially rotating systems is key to many areas of astrophysics. We investigate the oscillations of a simple system exhibiting differential rotation, and discuss issues concerning the role of corotation points and the emergence of dynamical instabilities. This problem is of particular relevance to the emission of gravitational waves from oscillating neutron stars, which are expected to possess significant differential rotation immediately after birth or binary merger.