Separable electromagnetic perturbations of rotating black holes
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866910448453943296 |
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| author | Wardell, Barry Kavanagh, Chris |
| author_facet | Wardell, Barry Kavanagh, Chris |
| contents | We identify a set of Hertz potentials for solutions to the vector wave equation on black hole spacetimes. The Hertz potentials yield Lorenz gauge electromagnetic vector potentials that represent physical solutions to the Maxwell equations, satisfy the Teukolsky equation, and are related to the Maxwell scalars by straightforward and separable inversion relations. Our construction, based on the GHP formalism, avoids the need for a mode ansatz and leads to potentials that represent both static and non-static solutions. As an explicit example, we specialise the procedure to mode-decomposed perturbations of Kerr spacetime and in the process make connections with previous results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2011_03548 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Separable electromagnetic perturbations of rotating black holes Wardell, Barry Kavanagh, Chris General Relativity and Quantum Cosmology High Energy Physics - Theory We identify a set of Hertz potentials for solutions to the vector wave equation on black hole spacetimes. The Hertz potentials yield Lorenz gauge electromagnetic vector potentials that represent physical solutions to the Maxwell equations, satisfy the Teukolsky equation, and are related to the Maxwell scalars by straightforward and separable inversion relations. Our construction, based on the GHP formalism, avoids the need for a mode ansatz and leads to potentials that represent both static and non-static solutions. As an explicit example, we specialise the procedure to mode-decomposed perturbations of Kerr spacetime and in the process make connections with previous results. |
| title | Separable electromagnetic perturbations of rotating black holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2011.03548 |