ИСТИНА

We discus a special case of Horndeski theory with non-minimal coupling of the Einstein tensor to derivatives of the scalar field in Palatini formalism. We demonstrate that for a general nonsymmetric connection torsion can be eliminated by a gauge transformation. Then we show that the connection for this model can be written as Levi-Civita connection of a second metric, that is related to the initial metric by a disformal transformation. We show that by a disformal transformation of the metric the theory can be reduced to the Einstein-Hilbert term plus minimally coupled scalar field term. The singular Fisher solution of the latter theory is shiwn to correspond to regular solution of the Horndeski theory