Stationary axisymmetric spacetimes with a conformally coupled scalar field

Solution-generating techniques for general relativity with a conformally (and minimally) coupled scalar field are pushed forward to build a wide class of asymptotically flat, axisymmetric, and stationary spacetimes continuously connected to Kerr spacetime. This family contains, amongst other things, rotating extensions of the Bocharova-Bronnikov-Melnikov-Bekenstein black hole and also its angular and mass multipolar generalizations. The addition of Newman-Unti-Tamburino charge is also discussed.