paper

Spin-induced scalarized black holes

arXiv:2009.03904 · doi:10.1103/PhysRevLett.126.011103

Abstract

It was recently shown that a scalar field suitably coupled to the Gauss-Bonnet invariant can undergo a spin-induced linear tachyonic instability near a Kerr black hole. This instability appears only once the dimensionless spin is sufficiently large, that is, . A tachyonic instability is the hallmark of spontaneous scalarization. Focusing, for illustrative purposes, on a class of theories that do exhibit this instability, we show that stationary, rotating black hole solutions do indeed have scalar hair once the spin-induced instability threshold is exceeded, while black holes that lie below the threshold are described by the Kerr solution. Our results provide strong support for spin-induced black hole scalarization.

8 pages, 3 figures. v2 matches version published in PRL

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