Dima Alexandru, Barausse Enrico, Franchini Nicola, Sotiriou Thomas P
SISSA, Via Bonomea 265, 34136 Trieste, Italy and INFN Sezione di Trieste.
IFPU-Institute for Fundamental Physics of the Universe, Via Beirut 2, 34014 Trieste, Italy.
Phys Rev Lett. 2020 Dec 4;125(23):231101. doi: 10.1103/PhysRevLett.125.231101.
We study scalar fields in a black hole background and show that, when the scalar is suitably coupled to curvature, rapid rotation can induce a tachyonic instability. This instability, which is the hallmark of spontaneous scalarization in the linearized regime, is expected to be quenched by nonlinearities and endow the black hole with scalar hair. Hence, our results demonstrate the existence of a broad class of theories that share the same stationary black hole solutions with general relativity at low spins, but which exhibit black hole hair at sufficiently high spins (a/M≳0.5). This result has clear implications for tests of general relativity and the nature of black holes with gravitational and electromagnetic observations.
我们研究了黑洞背景下的标量场，并表明，当标量与曲率适当地耦合时，快速旋转会引发快子不稳定性。这种不稳定性是线性化 regime 中自发标量化的标志，预计会被非线性效应抑制，并赋予黑洞标量毛发。因此，我们的结果表明存在一类广泛的理论，它们在低自旋时与广义相对论具有相同的静态黑洞解，但在足够高的自旋（a/M≳0.5）时表现出黑洞毛发。这一结果对广义相对论的检验以及通过引力和电磁观测研究黑洞的性质具有明确的意义。
