论文标题
黑洞扰动的有效野外理论，具有定时标量概况：配方
Effective Field Theory of Black Hole Perturbations with Timelike Scalar Profile: Formulation
论文作者
论文摘要
我们在不均匀的背景下制定了标量理论中扰动的有效野外理论（EFT）。在将标量字段的背景保持为$ \ textit {timelike} $的同时，构建了EFT，它会自发打破时间差异性。我们发现，在3D空间差异下EFT的不变性施加的一组一致性关系。只要标量曲线到处都是及时的，此EFT可以通常应用于任何不均匀的背景度量。为了完整性，我们向Horndeski理论报告了EFT参数之间的字典。最后，我们计算一类球形对称，静态黑洞背景的背景方程，包括隐形Schwarzschild-de Sitter解决方案。
We formulate the Effective Field Theory (EFT) of perturbations within scalar-tensor theories on an inhomogeneous background. The EFT is constructed while keeping a background of a scalar field to be $\textit{timelike}$, which spontaneously breaks the time diffeomorphism. We find a set of consistency relations that are imposed by the invariance of the EFT under the 3d spatial diffeomorphism. This EFT can be generically applied to any inhomogeneous background metric as long as the scalar profile is everywhere timelike. For completeness, we report a dictionary between our EFT parameters to those of Horndeski theories. Finally, we compute background equations for a class of spherically symmetric, static black hole backgrounds, including a stealth Schwarzschild-de Sitter solution.
