论文标题
通过有效的现场理论方法，在移动对称标量张量理论中毛茸茸的黑洞的稳定性
Stability of Hairy Black Holes in Shift-Symmetric Scalar-Tensor Theories via the Effective Field Theory Approach
论文作者
论文摘要
换档对称的Horndeski理论接受了一类有趣的Schwarzschild-De Sitter Black Hole Solutions，表现出时间依赖于时间依赖的标量头发。这些解决方案的性能可以通过基于背景对称性的自下而上的有效场理论（EFT）研究。这是通过使用方便的坐标选择（Lemaître-type坐标）的一部分，其中Horndeski标量场的轮廓在相关的时间坐标中是线性的。我们构建了此EFT，并使用它来理解在偏移对称的Horndeski理论中毛茸茸的黑洞的稳定性，提供了一组约束，这些约束在Horndeski Lagrangian中出现的原本不含的功能必须满足，以便允许稳定的黑洞解决方案。 EFT在脱钩极限中进行了分析，以了解潜在的不稳定性来源。我们还对EFT进行了完整的分析，并在一般球形对称时空周围具有奇数线性扰动。
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.
