Dyon-Like Black Hole Solutions in the Model with Two Abelian Gauge Fields

Abstract

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.