2020/09/30 by Carlos A. R. Herdeiro, Eugen Radu, Hector O. Silva +2 · 1 citation
Physics and Astronomy · #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevlett.126.011103
published as Phys. Rev. Lett. 126, 011103 (2021) · 8 pages, 3 figures. v2 matches version published in PRL
arxiv created 2021/01/08 · arxiv updated 2021/01/11
It was recently shown that a scalar field suitably coupled to the Gauss-Bonnet invariant G can undergo a spin-induced linear tachyonic instability near a Kerr black hole. This instability appears only once the dimensionless spin j is sufficiently large, that is, j \gtrsim 0.5. 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.