Hidden symmetry of the static response of black holes: applications to Love numbers

Abstract We show that any static linear perturbations around Schwarzschild black holes enjoy a set of conserved charges which forms a centrally extended Schrödinger algebra sh $$ \mathfrak{sh} $$ (1) = sl $$ \mathfrak{sl} $$ (2, ℝ) ⋉ H $$ \mathcal{H} $$ . The central charge is given by the black hol...

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Bibliographic Details
Main Authors: Jibril Ben Achour, Etera R. Livine, Shinji Mukohyama, Jean-Philippe Uzan
Format: Article
Language:English
Published: SpringerOpen 2022-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2022)112