Mathematical Modeling of Boson-Fermion Stars in the Generalized Scalar-Tensor Theories of Gravity

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Main Authors: Boyadjiev, T. L., Todorov, M. D., Fiziev, P. P., Yazadjiev, S. S.
Format: Preprint
Published: 1999
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_version_ 1866914100057997312
author Boyadjiev, T. L.
Todorov, M. D.
Fiziev, P. P.
Yazadjiev, S. S.
author_facet Boyadjiev, T. L.
Todorov, M. D.
Fiziev, P. P.
Yazadjiev, S. S.
contents A model of static boson-fermion star with spherical symmetry based on the scalar-tensor theory of gravity with massive dilaton field is investigated numerically. Since the radius of star is \textit{a priori} an unknown quantity, the corresponding boundary value problem (BVP) is treated as a nonlinear spectral problem with a free internal boundary. The Continuous Analogue of Newton Method (CANM) for solving this problem is applied. Information about basic geometric functions and the functions describing the matter fields, which build the star is obtained. In a physical point of view the main result is that the structure and properties of the star in presence of massive dilaton field depend essentially both of its fermionic and bosonic components.
format Preprint
id arxiv_https___arxiv_org_abs_math_9911118
institution arXiv
publishDate 1999
record_format arxiv
spellingShingle Mathematical Modeling of Boson-Fermion Stars in the Generalized Scalar-Tensor Theories of Gravity
Boyadjiev, T. L.
Todorov, M. D.
Fiziev, P. P.
Yazadjiev, S. S.
Numerical Analysis
A model of static boson-fermion star with spherical symmetry based on the scalar-tensor theory of gravity with massive dilaton field is investigated numerically. Since the radius of star is \textit{a priori} an unknown quantity, the corresponding boundary value problem (BVP) is treated as a nonlinear spectral problem with a free internal boundary. The Continuous Analogue of Newton Method (CANM) for solving this problem is applied. Information about basic geometric functions and the functions describing the matter fields, which build the star is obtained. In a physical point of view the main result is that the structure and properties of the star in presence of massive dilaton field depend essentially both of its fermionic and bosonic components.
title Mathematical Modeling of Boson-Fermion Stars in the Generalized Scalar-Tensor Theories of Gravity
topic Numerical Analysis
url https://arxiv.org/abs/math/9911118