Dilatonic black hole dyon-like solutions are overviewed in the gravitational 4D model with a scalar field, two 2-forms, two dilatonic coupling constants λ_i ≠ 0, i = 1, 2, obeying λ₁ ≠ − λ₂, and the sign parameter ε = ±1 before the scalar field kinetic term. Here ε = −1 corresponds to a phantom scalar field. The solutions are defined up to solutions of two master equations for two moduli functions, when \(\lambda_i^2 \neq 1/2\) for ε = −1. Several integrable cases, corresponding to the Lie algebras A₁ + A₁, A₂, B₂ = C₂ and G₂ are considered. Some physical parameters of the solutions are derived: the gravitational mass, scalar charge, Hawking temperature, black hole area entropy and PPN parameters β and γ. Bounds on the gravitational mass and scalar charge, based on a certain conjecture, are presented.

中文翻译：

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具有两个阿贝尔规范场的模型中的类似Dyon的黑洞解决方案

Dilatonic黑洞双子状溶液在重力4D模型综述用标量场，两个2形式中，两个dilatonic偶合常数λ_我≠0，我= 1，2，服从λ ₁ ≠ - λ ₂，和符号标量场动力学项之前的参数ε =±1。此处，ε = -1对应于幻像标量场。当针对ε = -1的\（\ lambda_i ^ 2 \ neq 1/2 \）时，针对两个模函数的两个主方程的解定义该解。对应于李代数A ₁ + A _1的几个可积情况，考虑A ₂，B ₂＝C ₂和G ₂。得出了这些解的一些物理参数：重力质量，标量电荷，霍金温度，黑洞面积熵以及PPN参数β和γ。给出了基于某种推测的引力质量和标量电荷的界线。