Abstract
Dilatonic black hole dyon-like solutions in the gravitational 4d model with a scalar field, two 2-forms, two dilatonic coupling constants λi ≠ 0, i = 1,2, obeying λ1 ≠ − λ2 and sign parameter ε = ±1 for scalar field kinetic term are considered. Here ε = −1 corresponds to ghost scalar field. These solutions are defined up to solutions of two master equations for two moduli functions, when λi2 ≠ 1/2 for ε = −1. A set of bounds on gravitational mass and scalar charge are presented by using a certain conjecture on parameters of solutions, when 1 + 2λi2ε > 0, i = 1, 2.
Highlights
We give a brief extension of our previous work [1] devoted to dilatonic dyon black hole solutions
We consider a subclass of dilatonic black hole solutions with electric and magnetic charges Q1 and Q2, respectively in 4d model with metric g, scalar field φ, two 2-forms F(1) and F(2), corresponding to two dilatonic coupling constants λ1 and λ2, respectively
For coinciding dilatonic couplings λ1 = λ2 = λ we get a trivial non-composite generalisation of dilatonic dyon black hole solutions in the model with one 2-form which was considered in ref
Summary
We give a brief extension of our previous work [1] devoted to dilatonic dyon black hole solutions. We consider a subclass of dilatonic black hole solutions with electric and magnetic charges Q1 and Q2, respectively in 4d model with metric g, scalar field φ, two 2-forms F(1) and F(2), corresponding to two dilatonic coupling constants λ1 and λ2, respectively. [1] this problem is solved here up to a conjecture, which states one to one (smooth) correspondence between the pair (Q21, Q22), where Q1 is electric charge and Q2 is magnetic charge, and the pair of positive parameters (P1, P2), which appear in decomposition of moduli functions at large distances This conjecture is believed to be valid for all λi 0 in the case of ordinary scalar field and for 0 < λ2i < 1/2 for the case of phantom scalar field (in both cases the inequality λ1 −λ2 is assumed)
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