Maxwell's Equations in the Myers-Perry Geometry

Abstract

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.

94 pages. V2: Appendix F added, typos fixed

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• Black holes with synchronised Proca hair: linear clouds and fundamental non-linear solutions
• Photon Emission Near Myers-Perry Black Holes in the Large Dimension Limit
• Principal Tensor Strikes Again: Separability of Vector Equations with Torsion
• Quantum mechanics of stationary states of particles in a space-time of classical black holes
• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• Quasinormal modes of $p$-forms in spherical black holes
• Killing tensors of generalized Lense-Thirring space-time