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 $$1 +2 \lambda _i^2 \varepsilon > 0$$ , $$i =1,2$$ .