Radiation-supported new-type tori in the Newtonian and logarithmic potentials

Abstract We examine radiation-supported rotating tori in the Newtonian and logarithmic potentials, using the similarity method, and analytically find new-type self-similar solutions of astrophysical tori for both cases. In the Newtonian case around a central point mass, radiative quantities such as fluxes and energy density are expressed in a simple form, although the expression for the gas density is somewhat complicated. It is noted that the gaseous configuration in the Newtonian (point-mass) case has a conical surface, where the radiation energy density vanishes. In the logarithmic case in, e.g., dark matter, on the other hand, simple analytical solutions for matter and radiation distributions are obtained. In the logarithmic case, furthermore, the gaseous configuration extends over the whole space, if it exists. In both cases, the density contours have toroidal shapes, and elongate in the equatorial direction due to rotation.