Higher-dimensional static charged solutions in \(f(\mathbb {Q})\) gravity

Abstract

We investigate exact static solutions with cylindrical symmetry in higher-dimensional \(f(\mathbb {Q})\) gravity. For the specific quadratic model \(f(\mathbb {Q})=\mathbb {Q}+\frac{1}{2}\alpha \mathbb {Q}^2-2\lambda\), the Maxwell field allows the nonmetricity scalar to vary radially. The resulting charged solutions form two distinct branches: one describes an asymptotically (A)dS black hole and has a smooth general-relativistic limit, whereas the other does not admit such a limit. A previously obtained special solution is recovered as a particular case. These backgrounds provide a basis for future studies of the propagating degrees of freedom and dynamical stability of \(f(\mathbb {Q})\) gravity.