Self-interactions and spontaneous black hole scalarization
Self-interactions and spontaneous black hole scalarization
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DOI：
10.1103/physrevd.99.104041
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发表时间：
2019-03
影响因子：
5
通讯作者：
C. F. Macedo;Jeremy Sakstein;E. Berti;L. Gualtieri;Hector O. Silva;T. Sotiriou
中科院分区：
文献类型：
--
作者：
C. F. Macedo;Jeremy Sakstein;E. Berti;L. Gualtieri;Hector O. Silva;T. Sotiriou
最近的研究表明，标量和高斯-博内不变量之间的非平凡耦合可以引起黑洞自发标量化。表现出这种现象的理论是即将到来的黑洞观测测试引力的主要候选者之一。到目前为止，所有考虑的模型都集中在耦合的特定形式，忽略了标量自相互作用。在这项工作中，我们采取的第一步，把这种现象在一个更强大的理论基础，考虑领先的阶标量自相互作用以及标量高斯-邦纳耦合。我们的方法是符合有效场论的原则，并产生最简单和最自然的模型。我们发现，标量的质量项改变了标量化的起始阈值，我们研究了标量化黑洞的解决方案存在的质量范围。我们还证明了四次自耦合足以产生对径向扰动稳定的标量化解决方案，而不需要诉诸高斯-邦纳耦合函数中的高阶项。因此，我们的模型代表了一个可以进一步研究的规范模型，最终目的是发展黑洞标量化的可证伪检验。
It has recently been shown that nontrivial couplings between a scalar and the Gauss-Bonnet invariant can give rise to black hole spontaneous scalarization. Theories that exhibit this phenomenon are among the leading candidates for testing gravity with upcoming black hole observations. All models considered so far have focused on specific forms for the coupling, neglecting scalar self-interactions. In this work, we take the first steps towards placing this phenomenon on a more robust theoretical footing by considering the leading-order scalar self-interactions as well as the scalar-Gauss-Bonnet coupling. Our approach is consistent with the principles of effective field theory and yields the simplest and most natural model. We find that a mass term for the scalar alters the threshold for the onset of scalarization, and we study the mass range over which scalarized black hole solutions exist. We also demonstrate that the quartic self-coupling is sufficient to produce scalarized solutions that are stable against radial perturbations, without the need to resort to higher-order terms in the Gauss-Bonnet coupling function. Our model therefore represents a canonical model that can be studied further, with the ultimate aim of developing falsifiable tests of black hole scalarization.