Dilatonic dyon-like black hole solutions in the model with two Abelian gauge fields

Abstract

Dilatonic black hole dyon-like solutions in the gravitational $4d$ model with a scalar field, two 2-forms, two dilatonic coupling constants ${\lambda }_i\ne 0$, $i=1,2$, obeying ${\lambda }_1\ne -{\lambda }_2$ and the sign parameter $\epsilon =\pm 1$ for scalar field kinetic term are considered. Here $\epsilon =-1$ corresponds to a ghost scalar field. These solutions are defined up to solutions of two master equations for two moduli functions, when ${\lambda }_i^2\ne 1/2$ for $\epsilon =-1$. Some physical parameters of the solutions are obtained: gravitational mass, scalar charge, Hawking temperature, black hole area entropy and parametrized post-Newtonian (PPN) parameters $\beta$ and $\gamma$. The PPN parameters do not depend on the couplings ${\lambda }_i$ and $\epsilon$. A set of bounds on the gravitational mass and scalar charge are found by using a certain conjecture on the parameters of solutions, when $1+2{\lambda }_i^2\epsilon >0$, $i=1,2$.

23 pages, Latex, 2 figures, corrected revised version: several paragraphs, remarks, equations and 5 references are added, ref. [13] is replaced. To appear in EPJC. arXiv admin note: substantial text overlap with arXiv:1504.07657

References in corpus (5)

• The Confrontation between General Relativity and Experiment
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Phantom Black Holes in Einstein-Maxwell-Dilaton Theory
• Phantom Black Holes and Sigma Models
• "Triangular" extremal dilatonic dyons

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• Circular geodesics in the field of double-charged dilatonic black holes
• Higher-$n$ triangular dilatonic black holes
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• Discreteness of dyonic dilaton black holes
• On flux integrals for generalized Melvin solution related to simple finite-dimensional Lie algebra
• Fluxbrane polynomials and Melvin-like solutions for simple Lie algebras
• Photon Sphere for a Dilatonic Dyonic Black Hole in a Model with an Abelian Gauge Field and a Scalar Field