Plebański-Demiański solutions in quadratic gravity with conformally coupled scalar fields

We show that the Plebanski-Demianski spacetime persists as a solution of General Relativity when theory is supplemented with both, conformally coupled scalar and quadratic curvature corrections. The terms are two types given by combinations Riemann tensor well higher interaction constructed field which to in curvature. later built four-rank $S_{\mu\nu}^{\ \ \lambda\rho}$ depends on field, transforms covariantly under local Weyl rescallings. Due generality family, several new hairy black hole solutions obtained this model. pay particular attention C-metric stationary Taub-NUT metric, hyperbolic case can be analytically extended leading healthy, asymptotically AdS, wormhole configurations. Finally, we present general model for derivative, scalars, depending an arbitrary function have dubbed Conformal K-essence. also construct spherically symmetric holes these models.