  We propose a gravitational model which allows the independent dynamical
behaviour of the torsion and nonmetricity fields to be displayed in the
framework of Metric-Affine gauge theory of gravity. For this task, we derive a
new exact black hole solution referred to this model which extends the role of
torsion of the main well-known exact solutions based on Weyl-Cartan geometry
and constitutes the first known isolated gravitational system characterized by
a metric tensor with independent spin and dilation charges.
