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Resolving "dirty" effects around black holes by decoupling the Teukolsky equation

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arxiv 2312.04320 v1 pith:5FIANUJ4 submitted 2023-12-07 gr-qc

classification gr-qc
keywords aroundblackholesdarkdecouplingdirtyelectromagneticemris
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Detecting the environment around the supermassive black holes and tests of general relativity are important applications of extreme-mass-ratio inspirals (EMRIs). There is still a challenge to efficiently describe various "dirty" impacts on the inspirals like dark matter, gas, dipole radiation, electromagnetic interaction, and so on. In this Letter, we find the inherent linearity of the asymptotic solution of the inhomogeneous Teukolsky equation. Based on this property, we completely decouple the factors of the perturber and the background spacetime in the energy fluxes and waveforms. With the new decoupling form, the waveforms of EMRIs with non-geodesic motion in Kerr spacetime can be calculated conveniently. This will help to resolve the environment (including gas, field, dark matter, electromagnetic interaction, etc.) around the supermassive black holes and test general relativity.

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Cited by 1 Pith paper

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  1. Secondary spins of extreme mass ratio inspirals: A probe to the formation channels

    astro-ph.HE 2025-02 conditional novelty 7.0 of 10

    For eccentric and inclined extreme mass-ratio inspirals, the secondary black hole spin may be measurable to about 0.1 at SNR 20, and high spins would point to the Hills formation channel.

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