Timedependent accretion disks around compact objects. I. Theory and basic equations.
Abstract
We consider accretion disks around compact stars and black holes, generalizing the stationary disk models of various authors to allow time dependence on the radialflow time scale. The structure and evolution of the disk are governed by an 'evolution equation' for matter surface density, plus a set of implicit algebraic equations determining various thermodynamic and radiation variables in terms of surface density. The analytic structure of these equations is studied. It is shown that there exists a maximum permissible value of the surface density at which gas and radiation pressure are approximately equal, and beyond which viscosity generates more energy than radiative transport can remove.
 Publication:

The Astrophysical Journal
 Pub Date:
 December 1974
 DOI:
 10.1086/153259
 Bibcode:
 1974ApJ...194..419L
 Keywords:

 Binary Stars;
 Black Holes (Astronomy);
 Magnetohydrodynamics;
 Rotating Disks;
 Stellar Gravitation;
 Time Dependence;
 Astronomical Models;
 Density Distribution;
 Deposition;
 Neutron Stars;
 Nonlinear Equations;
 Plasma Dynamics;
 Radiative Transfer;
 Stellar Evolution;
 Viscosity;
 X Ray Sources;
 Astrophysics