An application of continuous analogue of Newton’s method for modeling of boson-fermion stars in the generalized scalar-tensor theories of gravity. (English) Zbl 1082.83507

Dragovich, B.(ed.) et al., Proceedings of the 2nd summer school in modern mathematical physics, Kopaonik, Yugoslavia, September 1–12, 2002. Belgrade: Institute of Physics (ISBN 86-82441-13-6). Sveske Fizičkikh Nauka. Series A: Conferences 16, 1, 507-517 (2003).
Summary: We investigate numerically models of the static spherically symmetric boson-fermion stars on the scalar-tensor theory of gravity with massive dilation field. The proper mathematical model of such stars is interpreted as a nonlinear two-parametric eigenvalue problem with un unknown internal boundary. We formulate the boundary value problem in two ways and employ the continuous analogue of Newton’s method (CANM) for each of them. We obtain the behaviour of the basic geometric quantities and functions describing a dilation field and matter fields, which build the star.
For the entire collection see [Zbl 1058.81003].


83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)