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

## TL;DR

This paper explores dilatonic black hole solutions with two gauge fields and scalar coupling constants, analyzing their physical properties and deriving bounds on mass and scalar charge, with implications for gravitational theories involving scalar fields.

## Contribution

It introduces new dilatonic dyon-like black hole solutions in a 4D model with two gauge fields and scalar couplings, including cases with ghost scalar fields, and derives physical parameters and bounds.

## Key findings

- Solutions defined by two master equations for moduli functions.
- PPN parameters are independent of couplings and scalar field sign.
- Bounds on gravitational mass and scalar charge are established.

## Abstract

Dilatonic black hole dyon-like solutions in the gravitational $4d$ model with a scalar field, two 2-forms, two dilatonic coupling constants $\lambda_i \neq 0$, $i =1,2$, obeying $\lambda_1 \neq - \lambda_2$ 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 $\lambda^2_i \neq 1/2$ 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 $1 +2 \lambda_i^2 \varepsilon > 0$, $i =1,2$.