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

Abstract

Dilatonic black hole dyon-like solutions in the gravitational 4d model with a scalar field, two 2-forms, two dilatonic coupling constants lambda _i ne 0, i =1,2, obeying lambda _1 ne - lambda _2 and the sign parameter varepsilon = pm 1 for scalar field kinetic term are considered. Here varepsilon = - 1 corresponds to a ghost scalar field. These solutions are defined up to solutions of two master equations for two moduli functions, when lambda ^2_i ne 1/2 for varepsilon = - 1. Some physical parameters of the solutions are obtained: gravitational mass, scalar charge, Hawking temperature, black hole area entropy and parametrized post-Newtonian (PPN) parameters beta and gamma . The PPN parameters do not depend on the couplings lambda _i and varepsilon . A set of bounds on the gravitational mass and scalar charge are found by using a certain conjecture on the parameters of solutions, when 1 +2 lambda _i^2 varepsilon > 0, i =1,2.