论文标题
关于DHOST重力中轴向黑洞扰动的有效度量
On the effective metric of axial black hole perturbations in DHOST gravity
论文作者
论文摘要
我们研究了有关移位对称DHOST（退化高阶标量）理论中静态和球形对称的毛状黑洞（BH）溶液的轴向（或奇数）扰动。我们首先扩展到了DHOST理论家族，我们最近为Horndeski理论开发的一阶配方。值得注意的是，我们发现DHOST轴向扰动的动力学等同于在一般相对论（GR）中演变的轴向扰动的动力学，这些扰动是在一个不同的，有效的指标中演变而来的。在二次dOhost理论的特殊情况下，该有效度量是通过双向转换得出的BACKEND BH指标。我们用BH解决方案的三个示例来说明我们的一般研究。在某些所谓的隐形解决方案中，有效的指标是施瓦茨柴尔德（Schwarzschild），其视野转移。我们还举例说明了BH解决方案的示例，其中有效度量与赤裸裸的奇异性有关。
We study axial (or odd-parity) perturbations about static and spherically symmetric hairy black hole (BH) solutions in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories. We first extend to the family of DHOST theories the first-order formulation that we recently developed for Horndeski theories. Remarkably, we find that the dynamics of DHOST axial perturbations is equivalent to that of axial perturbations in general relativity (GR) evolving in a, distinct, effective metric. In the particular case of quadratic DHOST theories, this effective metric is derived from the background BH metric via a disformal transformation. We illustrate our general study with three examples of BH solutions. In some so-called stealth solutions, the effective metric is Schwarzschild with a shifted horizon. We also give an example of BH solution for which the effective metric is associated with a naked singularity.
