Critical phenomena in dynamical scalarization of charged black hole

Abstract

We report a new black hole scalarization mechanism and disclose novel dynamical critical phenomena in the process of the nonlinear accretion of the scalar field into black holes. The accretion process can transform a seed black hole into a final scalarized or bald black hole, depending on the initial parameter of the scalar field $p$. There is a critical parameter $p_{\ast }$ and near it all intermediate solutions are attracted to a critical solution and stay there for a time scaling as $T\propto -\gamma \ln |p-p_{\ast }|$. At late times, the solutions evolve into scalarized black holes if $p>p_{\ast }$, or bald black holes if $p<p_{\ast }$. The final masses of the resulting scalarized/bald black holes satisfy power-laws $M_p-M_{\pm }\propto |p-p_{\ast }{|}^{{\gamma }_{\pm }}$ where $M_{\pm }$ are the masses of the scalarized/bald black holes when $p\to p_{\ast }$ from above/below, and ${\gamma }_{\pm }$ the corresponding exponents.

Phys. Rev. Lett. 128, 161105

References in corpus (2)

• Spontaneously scalarised Kerr black holes
• Dynamical scalarization in Einstein-Maxwell-dilaton theory

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