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

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 λi 2 = 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 + 2λi 2ϵ > 0, i = 1, 2. © The Authors, published by EDP Sciences, 2018.