It is interesting to note that most black holes are born very slowly rotating. We investigate scalarization of slowly rotating black holes in the Einstein-scalar-Chern–Simons (EsCS) theory. In the slow rotation approximation, the CS term takes a linear form of rotation parameter a which determines the tachyonic instability. The tachyonic instability for slowly rotating black holes represents the onset of spontaneous scalarization. It is shown that the slowly rotating black holes are unstable against a spherically symmetric scalar-mode perturbation for positive coupling α, whereas these black holes are unstable for negative coupling without any a-bound.

中文翻译：

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缓慢旋转黑洞的缩放

有趣的是，大多数黑洞的旋转速度都非常缓慢。我们研究了爱因斯坦-标量-陈-西蒙斯 (EsCS) 理论中缓慢旋转的黑洞的标量化。在慢速旋转近似中，CS 项采用旋转参数的线性形式一种这决定了速子不稳定性。缓慢旋转的黑洞的速子不稳定性代表了自发标量化的开始。结果表明，对于正耦合的球对称标量模式扰动，缓慢旋转的黑洞是不稳定的α，而这些黑洞在没有任何负耦合的情况下是不稳定的一种-边界。