An alternative to the Teukolsky equation
arXiv:2007.07906 · doi:10.1007/s10714-021-02866-4
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 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.
arXiv comment13 pages, 3 figures, v2: note added, references added, v3: published version
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