Dynamics of the nonrotating and rotating black hole scalarization

Even though black hole scalarization is extensively studied recently, little has been done in the direction of understanding dynamics this process, especially rapidly rotating regime. In present paper, we focus exactly on problem by considering nonlinear scalar field while neglecting backreaction spacetime metric. This approach proven to give good results various scenarios and have explicitly demonstrated its accuracy for nonrotating holes close bifurcation point. We followed evolution a from small initial perturbation, throughout exponential growth subsequent saturation an equilibrium configuration. As expected, even emitted signal time required scalarize are dependent final stationary state that reached independent data.