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We numerically construct static and spherically symmetric electrically charged black hole solutions in Einstein-Born-Infeld gravity with massive dilaton. The numerical solutions show that the dilaton potential allows many more black hole causal structures than the massless dilaton. We find that depending on the black hole mass and charge and the dilaton… (More)

The minimal length of " one-dimensional " Josephson junctions, in which the specific bound states of the magnetic flux retain their stability is discussed numerically. Thereby, we consider as " long " every Josephson junction, in which there exists at least one nontrivial stable distribution of the magnetic flux for fixed values of all the physical and the… (More)

A direct method for calculating the minimal length of " one-dimensional " Josephson junctions is proposed, in which the specific distribution of the magnetic flux retains its stability. Since the length of the junctions is a variable quantity, the corresponding nonlinear spectral problem as a problem with free boundaries is interpreted. The obtained results… (More)

- T. L. Boyadjiev
- 2008

Critical curves " critical current-external magnetic field " of long Josephson junctions with inho-mogeneity and variable width are studied. We demonstrate the existence of the regions of magnetic field where some fluxon states are stable only, if the external current through the junction is different from zero. Position and size of such regions depend on… (More)

We investigate numerically a models of the static spherically symmetric boson-fermion stars in 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. We employ the Continuous Analogue of Newton Method (CANM) which… (More)

- T L Boyadjiev, P P Fiziev
- 2003

In this paper the static, spherically symmetric and electrically charged black hole solutions in Einstein-Born-Infeld gravity with massive dilaton are investigated numerically. The Continuous Analog of Newton Method (CANM) is used to solve the corresponding non-linear multipoint boundary value problems (BVPs). The linearized BVPs are solved numerically by… (More)

- Diana V. Shopova, Todor L. Boyadjiev
- 2003

We have analyzed the properties of a noncollinear magnetic phase obtained in the mean-field analysis of the model of two coupled Heisenberg subsystems. The domain of its existence and stability is narrow and depends on the ratio between the averaged over nearest neighbours microscopic exchange parameters. The study of Heisenberg magnets with complex… (More)

- Hristo T. Melemov, Todor L. Boyadjiev
- NAA
- 2008

In this paper we propose a method of numerical solution of non-linear boundary value problems for systems of ODEs given on the embedded intervals. The algorithm is based on the continuous analog of Newton method coupled with spline-collocation scheme of fourth order of accuracy. Demonstrative examples of similar problems take place in physics of stacked… (More)

We develop the general theory of stars in Saa's model of gravity with propagating torsion and study the basic stationary state of neutron star. Our numerical results show that the torsion force decreases the role of the gravity in the star configuration and increases the maximum of the neutron star mass up to 5 − 6M depending on the equation of state of… (More)