Antonio Lanza

ABSTRACT A detailed model is presented which explains the observed range 1 < 20 of Lorentz factors for superluminal jets. In the model e+e plasma moves in a moderately super Eddington radiation field, L 10L Edd , of an accretion disk around a black hole. The observed range of 0 follows from special relativity and from the ratio of proton to electron mass m p /m e = 1836. The results depend only weakly on the details of electromagnetic pre-acceleration of particles close to the black hole. However, the model is consistent only for initial speeds Y in < 108.

An analytic procedure for nonlinearly superposing axisymmetric, stationary, self-gravitating solutions to Euler's equation or the Jeans equations to generate new and more general classes of solutions is presented. Two examples of the method are given. The first uses a nonlinear superposition of two Maclaurin spheroids to produce a large family of self-gravitating toroidal solutions of Euler's equation. The second example examines some possible consequences of the nonlinear superposition on galactic mass modeling studies based on the Jeans equations. It is shown that (1) regions of reduced stellar density may lead to local angular momentum enhancement and (2) a flat composite rotation velocity profile may be nonlinearly constructed from two or more mass components with decreasing rotation curves. 6 refs.