East William E, Ripley Justin L
Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
Phys Rev Lett. 2021 Sep 3;127(10):101102. doi: 10.1103/PhysRevLett.127.101102.
We study the dynamics of black holes in scalar Einstein-Gauss-Bonnet theories that exhibit spontaneous black hole scalarization using recently introduced methods for solving the full, nonperturbative equations of motion. For one sign of the coupling parameter, nonspinning vacuum black holes are unstable to developing scalar hair, while for the other, instability only sets in for black holes with sufficiently large spin. We study scalarization in both cases, demonstrating that there is a range of parameter space where the theory maintains hyperbolic evolution and for which the instability saturates in a scalarized black hole that is stable without symmetry assumptions. However, this parameter space range is significantly smaller than the range for which stationary scalarized black hole solutions exist. We show how different choices for the subleading behavior of the Gauss-Bonnet coupling affect the dynamics of the instability and the final state, or lack thereof. Finally, we present mergers of binary black holes and demonstrate the imprint of the scalar hair in the gravitational radiation.
我们使用最近引入的求解完整、非微扰运动方程的方法，研究了标量爱因斯坦 - 高斯 - 博内理论中黑洞的动力学，该理论展现出自发黑洞标量化现象。对于耦合参数的一种符号，非旋转真空黑洞对于产生标量毛发是不稳定的，而对于另一种符号，不稳定性仅在具有足够大自旋的黑洞中出现。我们研究了这两种情况下的标量化，证明存在一系列参数空间，在该空间中理论保持双曲演化，并且对于该空间，不稳定性在一个没有对称性假设时也稳定的标量化黑洞中达到饱和。然而，这个参数空间范围明显小于存在静态标量化黑洞解的范围。我们展示了高斯 - 博内耦合的次主导行为的不同选择如何影响不稳定性的动力学和最终状态，或者不存在最终状态的情况。最后，我们展示了双黑洞合并，并证明了标量毛发在引力辐射中的印记。
