Generation of rotating solutions in Einstein-scalar gravity

Abstract

We revisit the problem of the rotating generalization of the Fisher-Janis-Newman-Winicour solution of the minimal Einstein-scalar theory proving that previously known metrics do not satisfy the equations of motion. The same is shown for a putative rotating solution of the Brans-Dicke theory. We then use various generating techniques to derive correct spinning solutions with the scalar charge, in particular, those endowed with oblate deformations.