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arXiv · 2512.20756

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

M. E. Abishev·V. D. Ivashchuk·A. N. Malybayev·S. Toktarbay
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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 overviewed. Here $\varepsilon = - 1$ corresponds to a phantom scalar field. The solutions are defined up to solutions of two master equations for two moduli functions, when $\lambda^2_i \neq 1/2$ for $\varepsilon = - 1$. Several integrable cases corresponding to Lie algebras $A_1 + A_1$, $A_2$, $B_2 = C_2$ and $G_2$ are considered. Some physical parameters of the solutions are derived: gravitational mass, scalar charge, Hawking temperature, black hole area entropy and PPN parameters $\beta$ and $\gamma$. Bounds on the gravitational mass and scalar charge (based on a certain conjecture) are presented.

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M. E. Abishev, V. D. Ivashchuk, A. N. Malybayev, S. Toktarbay. 2025-12-23. Dyon-like black hole solutions in the model with two Abelian gauge fields. https://arxiv.org/abs/2512.20756

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