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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

Maxwell's Equations in the Myers-Perry Geometry

classification hep-th gr-qc
keywords maxwellequationsgeometryadvantagesansatzapplicationblackconstruction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 4 Pith papers

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

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

    gr-qc 2026-07 conditional novelty 7.0

    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

    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

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

    hep-th 2019-06 unverdicted novelty 6.0

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