An alternative to the Teukolsky equation

Abstract

We conjecture a new ordinary differential equation exactly isospectral to the radial component of the homogeneous Teukolsky equation. We find this novel relation by a hidden symmetry implied from a four-dimensional $\mathcal{N}=2$ supersymmetric quantum chromodynamics. Our proposal is powerful both in analytical and in numerical studies. As an application, we derive high-order perturbative series of quasinormal mode frequencies in the slowly rotating limit. We also test our result numerically by comparing it with a known technique.

13 pages, 3 figures, v2: note added, references added, v3: published version

References in corpus (4)

• Branching of quasinormal modes for nearly extremal Kerr black holes
• Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves
• Nekrasov prepotential with fundamental matter from the quantum spin chain
• Semi-analytic expressions for quasinormal modes of slowly rotating Kerr black holes

Cited by in corpus (11)

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• Quasinormal Modes of C-metric from SCFTs
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• Hidden spectral symmetries and mode stability of subextremal Kerr(-dS) black holes
• New Chandrasekhar transformation in Kerr spacetime
• Kerr-Newman quasinormal modes and Seiberg-Witten theory
• Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation
• Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry
• Notes on Quasinormal Modes of charged de Sitter Blackholes from Quiver Gauge Theories
• Spectral Problems for Quasinormal Modes of Black Holes