Near-zone symmetries of Kerr black holes
Lam Hui, Austin Joyce, Riccardo Penco, Luca Santoni, Adam R. Solomon
Abstract
A bstract 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.
Topics & Concepts
Homogeneous spacePhysicsMassless particleScalar (mathematics)Scalar fieldMathematical physicsTheoretical physicsLimit (mathematics)Classical mechanicsMathematicsGeometryMathematical analysisBlack Holes and Theoretical PhysicsPulsars and Gravitational Waves ResearchAstrophysical Phenomena and Observations