Dilatonic dyon black hole solutions

Abstract

Dilatonic black hole dyon solutions with arbitrary dilatonic coupling constant $\lambda \ne 0$ and canonical sign $\epsilon =+1$ for scalar field kynetic term are considered. These solutions are defined up to solutions of two master equations for moduli funtions. For ${\lambda }^2\ne 1/2$ the solutions are extended to $\epsilon =\pm 1$, where $\epsilon =-1$ corresponds to ghost (phantom) scalar field. Some physical parameters of the solutions: gravitational mass, scalar charge, Hawking temperature, black hole area entropy and parametrized post-Newtonian (PPN) parameters $\beta$ and $\gamma$ are obtained. It is shown that PPN parameters do not depend on scalar field coupling $\lambda$ and $\epsilon$. Two group of bounds on gravitational mass and scalar charge (for fixed and arbitrary extremality parameter $\mu >0$) are found by using a certain conjecture on parameters of solutions when $1+2{\lambda }^2\epsilon >0$. These bounds are verified numerically for certain examples. By product we are led to well-known lower bound on mass which was obtained earlier by Gibbons, Kastor, London, Townsend and Traschen by using spinor techniques.

arXiv comment20 pages, 2 figures, 2 tables, Latex. Revised version: 6 refs., 3 remarks, a paragraph in Conclusion and several sentences or phrases are added; in Sect. 5 numerics are replaced to the end

References in corpus (19)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Confrontation between General Relativity and Experiment
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Ghost Condensation and a Consistent Infrared Modification of Gravity
• Constraints on a charge in the Reissner--Nordström metric for the black hole at the Galactic Center
• Supersymmetric Self-Gravitating Solitons
• Phantom Black Holes in Einstein-Maxwell-Dilaton Theory
• Liouville and Toda Solitons in M-theory
• Charged Dilaton Black Holes with a Cosmological Constant
• Phantom Black Holes and Sigma Models
• Toda p-brane black holes and polynomials related to Lie algebras
• Block-Orthogonal Brane Systems, Black Holes and Wormholes
• Dyonic Black Holes in String Theory
• Black brane solutions governed by fluxbrane polynomials
• "Triangular" extremal dilatonic dyons
• ON SPHERICALLY SYMMETRIC SOLUTIONS IN D-DIMENSIONAL DILATON GRAVITY
• Mass Bounds for Multidimensional Charged Dilatonic Black Holes
• Black hole p-brane solutions for general intersection rules
• P-brane black holes for general intersections