On the dynamics of the nonrotating and rotating black hole scalarization

TL;DR

This paper investigates the nonlinear dynamics of black hole scalarization, focusing on how scalar fields evolve around nonrotating and rotating black holes without considering backreaction, revealing the process from initial perturbation to equilibrium.

Contribution

It provides a detailed analysis of scalar field evolution during black hole scalarization, especially in the rotating case, using a simplified approach that neglects backreaction.

Findings

Scalarization dynamics depend on initial perturbations and rotation.

Final black hole states are independent of initial conditions.

The approach accurately models the evolution near bifurcation points.

Abstract

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