Effective field theory of black hole perturbations with timelike scalar profile: formulation
Effective field theory of black hole perturbations with timelike scalar profile: formulation
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DOI：
10.1088/1475-7516/2022/09/010
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发表时间：
2022-04
影响因子：
6.4
通讯作者：
S. Mukohyama;Vicharit Yingcharoenrat
中科院分区：
文献类型：
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作者：
S. Mukohyama;Vicharit Yingcharoenrat
我们建立了非均匀背景下标量-张量理论中微扰的有效场论。EFT是在保持标量场的背景是类时间的情况下构造的，这自发地打破了时间微分同胚。在三维空间微分同胚下，我们找到了一组由EFT的不变性所强加的一致性关系。这种EFT一般可以应用于任何不均匀的背景度量，只要标量轮廓到处都是时间一样的。为了完整，我们报告了我们的EFT参数与Horndeski理论的参数之间的字典。最后，我们计算了一类球对称静态黑洞背景的背景方程，包括隐形Schwarzschild-de Sitter解。
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 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.