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Relativistic Diskoseismology. III. Low‐Frequency Fundamentalp‐Modes

2002/03/10 by Manuel Ortega-Rodriguez, Manuel Ortega‐Rodriguez, Alexander S. Silbergleit +1 · 28 citations
Physics and Astronomy · #Accretion (finance) #Accretion disc #Angular momentum #Astrophysical Phenomena and Observations #Astrophysics and Cosmic Phenomena #Barotropic fluid #Black hole (networking) #Focus (optics) #Luminosity #Pulsars and Gravitational Waves Research #Relativistic quantum chemistry #Torque #astro-ph

paper · pdf · doi:10.1086/338685

published in The Astrophysical Journal 567(2), 1043-1056 (IOP Publishing) · 42 pages, 15 figures

openalex publication_date 2002/03/10 · arxiv created 2006/11/02 · arxiv updated 2011/02/11 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

We extend our investigation of the normal modes of small adiabatic oscillations of relativistic barotropic thin accretion disks to the inertial-pressure ( p ) modes. We focus here on the lowest frequency fundamental p -modes, those with no axial or vertical nodes in their distribution. Through a variety of analyses, we obtain closed-form expressions for the eigenfrequencies and eigenfunctions. These depend on the luminosity and viscosity parameter of the disk as well as the mass and angular momentum of the black hole via detailed formulae for the speed of sound. The effect of a torque on the inner edge of the disk is also included. We compare the p -mode properties to those of the g - and c -modes.

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