Numerical Modeling of Charged Black Holes with Massive Dilaton

Abstract

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 nonlinear multipoint boundary value problems (BVPs). The linearized BVPs are solved numerically by means of collocation scheme of fourth order. A special class of solutions are the extremal ones. We show that the extremal horizons within the framework of the model satisfy some nonlinear system of algebraic equations. Depending on the charge $q$ and dilaton mass $\gamma$, the black holes can have no more than three horizons. This allows us to construct some Hermite polynomial of third order. Its real roots describe the number, the type and other characteristics of the horizons.

arXiv commenttalk given at V International Congress on Mathematical Modeling, Sep. 30 -- Oct. 6, Dubna, Russia, 2002: http://www.jinr.ru/vicmm/ latex file, 17 pages, 14 figures

References in corpus (10)

• Black Holes with a Massive Dilaton
• Can black holes and naked singularities be detected in accelerators?
• Spherically symmetric false vacuum: no-go theorems and global structure
• Gravitating BIon and BIon black hole with dilaton
• Dyonic BIon black hole in string inspired model
• Josephson Junctions with Minimal Length
• Gravitational Field of Massive Point Particle in General Relativity
• Mathematical Modeling of Boson-Fermion Stars in the Generalized Scalar-Tensor Theories of Gravity
• Thermodynamic properties of massive dilaton black holes II
• New Numerical Algorithm for Modeling of Boson-Fermion Stars in Dilatonic Gravity