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

¹ IETP
² Physical and Technical Faculty, Al-Farabi Kazakh National University, al’-Farabi avenue, 71, Almaty 050040, Kazakhstan
³ Center for Gravitation and Fundamental Metrology, VNIIMS, Ozyornaya St., 46, Moscow 119361, Russia
⁴ Institute of Gravitation and Cosmology, RUDN University, Miklukho-Maklaya St.,6, Moscow 117198, Russia

^* e-mail: abishevme@gmail.com

Published online: 9 January 2018

Abstract

Dilatonic black hole dyon-like solutions 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 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 λ_i² ≠ 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 + 2λ_i²ε > 0, i = 1, 2.