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arXiv · 2203.08832

Near-Zone Symmetries of Kerr Black Holes

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

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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Lam Hui, Austin Joyce, Riccardo Penco, Luca Santoni, Adam R. Solomon. 2022-03-16. Near-Zone Symmetries of Kerr Black Holes. https://doi.org/10.1007/jhep09(2022)049

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