Rotating tensor-multiscalar black holes with two scalars

Understand

We construct hairy black hole solutions in a particular set of tensor-multi-scalar theories of gravity for which the target-space admits a Killing vector field with periodic flow that is furthermore the generator of a one-parameter family of point transformations which leave the whole theory invariant.

• As for black holes with scalar hair in general relativity, these must be rotating objects as the scalarization arises from superradiant instability.
• We analyze the most fundamental rotating solutions (winding number $m=1$) in five theories which differ from each other by the value of the Gauss curvature of the target-space.
• The domain of existence of these solutions is investigated, as well as their hairyness, horizon area and deformation factor.