Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009mnras.400.2090s&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 400, Issue 4, pp. 2090-2097.
Astronomy and Astrophysics
Astronomy
1
Accretion, Accretion Discs, Hydrodynamics, Waves, Methods: Analytical
Scientific paper
Thin accretion discs around massive compact objects can support slow pressure modes of oscillations in the linear regime that have azimuthal wavenumber m = 1. We consider finite, flat discs composed of barotropic fluid for various surface density profiles and demonstrate - through WKB analysis and numerical solution of the eigenvalue problem - that these modes are stable and have spatial scales comparable to the size of the disc. We show that the eigenvalue equation can be mapped to a Schrödinger-like equation. The analysis of this equation shows that all eigenmodes have discrete spectra. We find that all the models we have considered support negative frequency eigenmodes; however, the positive eigenfrequency modes are only present in power-law discs, albeit for physically uninteresting values of the power-law index β and barotropic index γ.
Gulati Mamta
Saini Tarun Deep
Sridhar Srinath
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