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A Free Boundary Problem in the Theory of the Stars

S. S. Yazadjiev, T. L. Boyadjiev, M. D. Todorov, P. P. Fiziev

astro-pharXiv:astro-ph/0012496

Abstract

We investigate numerically models of the static spherically symmetric boson-fermion stars in the scalar-tensor theory of gravity with massive dilaton field. The proper mathematical model of such stars is interpreted as a nonlinear two-parametric eigenvalue problem with unknown internal boundary. To solve this problem the Continuous Analogue of Newton Method is used.

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