Herdeiro Carlos A R, Radu Eugen, Silva Hector O, Sotiriou Thomas P, Yunes Nicolás
Departamento de Matemática da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, Portugal.
Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, Potsdam 14476, Germany.
Phys Rev Lett. 2021 Jan 8;126(1):011103. doi: 10.1103/PhysRevLett.126.011103.
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≳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.
最近的研究表明，一个与高斯 - 博内不变量(G)适当耦合的标量场，在克尔黑洞附近会经历自旋诱导的线性快子不稳定性。这种不稳定性仅在无量纲自旋(j)足够大时才会出现，即(j\gtrsim0.5)。快子不稳定性是自发标量化的标志。为了说明问题，我们聚焦于一类确实表现出这种不稳定性的理论，结果表明，一旦超过自旋诱导的不稳定性阈值，稳态旋转黑洞解确实会有标量毛发，而低于阈值的黑洞则由克尔解描述。我们的结果为自旋诱导的黑洞标量化提供了有力支持。
