Uniqueness theorems for static black holes in metric-affine gravity - art.no. 084017

Using the equivalence theorem for the triplet ansatz sector of metric-affin e gravity (MAG) theories and the Einstein-Proca system, it is shown that th e only static black hole of the tripler 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)not equal 0 on the coupling constants. For the special ca se (- 4 beta(4) + k(1)beta(5)/2k(0) + k(2)gamma(4)/k(0))/kappa z(4) not equ al 0 it follows that the only static non-extremal black hole is the Reissne r-Nordstrom one. The results can be extended to exclude also the existence of soliton solutions of the tripler sector of MAG.