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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Hui, L., Joyce, A., Penco, R. et al. Near-zone symmetries of Kerr black holes. J. High Energ. Phys. 2022, 49 (2022). https://doi.org/10.1007/JHEP09(2022)049
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DOI: https://doi.org/10.1007/JHEP09(2022)049