  Using the equivalence theorem for the triplet ansatz sector of metric-affine
gravity (MAG) theories and the Einstein-Proca system, it is shown that the only
static black hole of the triplet sector of MAG is the Schwarzschild solution,
under the constraint (-4\beta_4 + k_1\beta_5/2k_0 + k_2\gamma_4/k_0)/\kappa z_4
\neq 0 on the coupling constants. For the special case (-4\beta_4 +
k_1\beta_5/2k_0 + k_2\gamma_4/k_0)/\kappa z_4 = 0, it follows that the only
static non-extremal black hole is the Reissner-Nordstr\"om one. The results can
be extended to exclude also the existence of soliton solutions of the triplet
sector of MAG.

General Relativity and Quantum Cosmology;High Energy Physics - Theory