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Maxwell's Equations in the Myers-Perry Geometry

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arxiv 1708.06766 v2 pith:KHVPJUDW submitted 2017-08-22 hep-th gr-qc

Oleg Lunin This is my paper · ORCID
classification hep-thgr-qc
keywords maxwellequationsgeometryadvantagesansatzapplicationblackconstruction
verification ladder T0 review T1 audit T2 compute T3 formal

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We demonstrate separability of the Maxwell's equations in the Myers-Perry-(A)dS geometry and derive explicit solutions for various polarizations. Application of our construction to the four-dimensional Kerr black hole leads to a new ansatz for the Maxwell field which has significant advantages over the previously known parameterization.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hawking emission of massive vector fields by Kerr black holes

    gr-qc 2026-07 conditional novelty 7.0 of 10

    First computation of massive vector (Proca) Hawking emission spectra from Kerr black holes, including polarization-dependent greybody factors, Page functions, and mass-enhanced superradiance up to ~7%.

  2. Kerr black holes with vector dark matter hair

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Massive vector dark matter forms a r^{-3/2} density spike around a Kerr black hole and, for co-rotating low-frequency modes, extracts mass and angular momentum through superradiant scattering.

  3. Static electromagnetic Love tensors of 5-dimensional Myers-Perry black holes

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Derives exact hypergeometric solutions for static perturbations of 5D Myers-Perry black holes and iteratively computes electromagnetic Love tensors showing lower-to-higher angular momentum mode mixing in the response.

  4. Black-hole hair from vector dark matter accretion

    gr-qc 2025-06 conditional novelty 6.0 of 10

    A Schwarzschild black hole accreting from a bath of vector dark matter develops a nontrivial Proca field profile, with density amplified by up to 10^7 near the horizon and mass accretion rates reaching tens of solar m...

  5. Principal Tensor Strikes Again: Separability of Vector Equations with Torsion

    hep-th 2019-06 unverdicted novelty 6.0 of 10

    Torsion-modified vector equations separate in the Chong-Cvetič-Lu-Pope black hole via a generalized principal Killing-Yano tensor.

  6. On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS spacetime

    gr-qc 2019-08 accept novelty 5.0 of 10

    Using the Eisenhart-Duval lift, the authors reproduce previously known commuting symmetry operators for the Maxwell (LFKK) equation on Kerr-NUT-(A)dS spacetimes in covariant form, and construct the analogous operator ...

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