Stability of scalarized black hole solutions in scalar-Gauss-Bonnet gravity
Stability of scalarized black hole solutions in scalar-Gauss-Bonnet gravity
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DOI：
10.1103/physrevd.99.064011
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发表时间：
2018-12
影响因子：
5
通讯作者：
Hector O. Silva;C. F. Macedo;T. Sotiriou;L. Gualtieri;Jeremy Sakstein;E. Berti
中科院分区：
文献类型：
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作者：
Hector O. Silva;C. F. Macedo;T. Sotiriou;L. Gualtieri;Jeremy Sakstein;E. Berti
在标量-张量引力理论中，一个新的标量自由度耦合到高斯-博内不变量，可以表现出黑洞自发标量化的现象。这些理论既承认广义相对论预言的经典黑洞解，也承认新的多毛黑洞解。毛状黑洞的稳定性强烈依赖于标量-引力耦合的精确形式。径向稳定性的调查表明，所有的标量黑洞的解决方案是不稳定的标量场和高斯-邦纳不变量之间的耦合是二次的标量，而稳定的解决方案存在的指数耦合。在这里，我们解释这种行为。我们表明，虽然二次项控制的发病的快子不稳定性，引起黑洞的头发，高阶耦合项控制的非线性淬火不稳定性，因此，也控制的稳定性的毛茸茸的黑洞解决方案。
Scalar-tensor theories of gravity where a new scalar degree of freedom couples to the Gauss-Bonnet invariant can exhibit the phenomenon of spontaneous black hole scalarization. These theories admit both the classic black hole solutions predicted by general relativity as well as novel hairy black hole solutions. The stability of hairy black holes is strongly dependent on the precise form of the scalar-gravity coupling. A radial stability investigation revealed that all scalarized black hole solutions are unstable when the coupling between the scalar field and the Gauss-Bonnet invariant is quadratic in the scalar, whereas stable solutions exist for exponential couplings. Here, we elucidate this behavior. We demonstrate that, while the quadratic term controls the onset of the tachyonic instability that gives rise to the black hole hair, the higher-order coupling terms control the nonlinearities that quench that instability and, hence, also control the stability of the hairy black hole solutions.