Stability of hairy black holes in shift-symmetric scalar-tensor theories via the effective field theory approach
Stability of hairy black holes in shift-symmetric scalar-tensor theories via the effective field theory approach
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DOI：
10.1088/1475-7516/2023/04/035
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发表时间：
2022-08
影响因子：
6.4
通讯作者：
J. Khoury;Toshifumi Noumi;M. Trodden;S. S. Wong-S.
中科院分区：
文献类型：
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作者：
J. Khoury;Toshifumi Noumi;M. Trodden;S. S. Wong-S.
移位对称的Horndeski理论承认了一类有趣的Schwarzschild-de Sitter黑洞解，它展示了与时间相关的标量毛发。这些解的性质可以通过基于背景对称性的自下而上的有效场论(EFT)来研究。这在一定程度上是因为使用了一种方便的坐标选择-勒马型坐标-其中Horndeski标量场的轮廓在相关的时间坐标中是线性的。我们构造了这个EFT，并用它来理解移动对称Horndeski理论中毛发黑洞的稳定性，提供了一组在Horndeski Lagrangian中出现的自由函数为了允许稳定的黑洞解而必须满足的约束。在解耦极限下对EFT进行了分析，以了解潜在的不稳定性来源。我们还对一般球对称时空中奇宇称线性微扰的EFT进行了完整的分析。
Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild-de Sitter black hole solutions exhibiting time-dependent scalar hair. The properties of these solutions may be studied via a bottom-up effective field theory (EFT) based on the background symmetries. This is in part possible by making use of a convenient coordinate choice — Lemaître-type coordinates — in which the profile of the Horndeski scalar field is linear in the relevant time coordinate. We construct this EFT, and use it to understand the stability of hairy black holes in shift-symmetric Horndeski theories, providing a set of constraints that the otherwise-free functions appearing in the Horndeski Lagrangian must satisfy in order to admit stable black hole solutions. The EFT is analyzed in the decoupling limit to understand potential sources of instability. We also perform a complete analysis of the EFT with odd-parity linear perturbations around general spherically symmetric space-time.