Luminosity, selfgravitation and nonuniqueness of stationary accretion

Karkowski, Janusz; Malec, Edward; Roszkowski, Krzysztof

Luminosity, selfgravitation and nonuniqueness of stationary accretion

Authors

Karkowski, Janusz

Malec, Edward

Roszkowski, Krzysztof

Description

We investigate newtonian description of accreting compact bodies with hard surfaces, including luminosity and selfgravitation of polytropic perfect fluids. This nonlinear integro-differential problem reduces, under appropriate boundary conditions, to an algebraic relation between luminosity and the gas abundance in stationary spherically symmetric flows. There exist, for a given luminosity, asymptotic mass and the asymptotic temperature, two sub-critical solutions that bifurcate from a critical point. They differ by the fluid content and the mass of the compact centre.
5 pages, 1 figure