Quasinormal modes of slowly rotating Kerr-Newman black holes using the double series method

Abstract

We calculate the spectrum of quasinormal modes of slowly rotating Kerr-Newman black holes. Using a perturbative double expansion method, second order in rotation and first order in non-radial perturbations, we obtain the system of equations that describe polar-led and axial-led perturbations. We analyse gravitational, electromagnetic and scalar fundamental modes, focusing on the $\mathrm{l}=2$ perturbations. We reproduce previous results and check that isospectrality between axial and polar-led perturbations is approximately satisfied with good accuracy. Our results show that the slow rotation approximation can be used to estimate with reasonable precision the spectrum of configurations up to 50-60$\%$ of the extremal angular momentum.

34 pages, 6 figures; v2: references added, equation (121) added; v3: comments and references added, typos corrected, results unchanged, matches published version

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• Kerr-Newman quasinormal modes and Seiberg-Witten theory
• Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation
• Quadrupole perturbations of slowly spinning Ellis-Bronnikov wormholes