New-type astrophysical tori in the point-mass and logarithmic potentials

Abstract

Abstract We examine the rotating gaseous configurations in the point-mass and logarithmic potentials, using the similarity method, and analytically find new-type solutions for astrophysical tori. We ignore the self-gravity, viscosity, magnetic, and radiation fields, but consider the isothermal and polytropic cases. In the point-mass potential, the gaseous configuration is generally limited within the conical region for both the isothermal and polytropic cases. In the logarithmic potential, on the other hand, the gaseous configuration extends over the whole space for the isothermal case, whereas it is limited within the conical region in the polytropic case. For both potentials, the density contours have toroidal or conical shapes with a self-similar manner. When the rotational speed is high and/or the sound speed is low (cold), the configurations become flat, and vice versa.