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arXiv · 2007.07906

An alternative to the Teukolsky equation

Yasuyuki Hatsuda
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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.

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Yasuyuki Hatsuda. 2020-07-15. An alternative to the Teukolsky equation. https://doi.org/10.1007/s10714-021-02866-4

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