  We present new rotating vacuum configurations endowed with both dynamical
torsion and nonmetricity fields in the framework of Metric-Affine gauge theory
of gravity. For this task, we consider scalar-flat Weyl-Cartan geometries and
obtain an axisymmetric Kerr-Newman solution in the decoupling limit between the
orbital and the spin angular momentum. The corresponding Kerr-Newman-de Sitter
solution is also compatible with a cosmological constant and additional
electromagnetic fields.
