论文标题

Kerr黑洞的近区域对称性

Near-Zone Symmetries of Kerr Black Holes

论文作者

Hui, Lam, Joyce, Austin, Penco, Riccardo, Santoni, Luca, Solomon, Adam R.

论文摘要

我们研究了四维黑洞背景上无质量标量场的近区对称性。我们提供了一种几何理解,该理解将最近发现的各种对称性统一为SO(4,2)组的一部分。其中,一个子集是静态部门的确切对称性,并引起了负责消失的爱数字的阶梯对称性。在Kerr案例中,我们比较了文献中不同的近区近似值,并专注于保留静态极限对称性的实现。我们还描述了与自旋1和2扰动的关系。

We study the near-zone symmetries of a massless scalar field on four-dimensional black hole backgrounds. We provide a geometric understanding that unifies various recently discovered symmetries as part of an SO(4,2) group. Of these, a subset are exact symmetries of the static sector and give rise to the ladder symmetries responsible for the vanishing of Love numbers. In the Kerr case, we compare different near-zone approximations in the literature, and focus on the implementation that retains the symmetries of the static limit. We also describe the relation to spin-1 and 2 perturbations.

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