Weak electromagnetic field admitting integrability in Kerr-NUT-(A)dS spacetimes
arXiv:1504.00524 · doi:10.1103/PhysRevD.91.124045
Abstract
We investigate properties of higher-dimensional generally rotating black-hole spacetimes, so called Kerr-NUT-(A)dS spacetimes, as well as a family of related spaces which share the same explicit and hidden symmetries. In these spaces, we study a particle motion in the presence of a weak electromagnetic field and compare it with its operator analogies. First, we find general commutativity conditions for classical observables and for their operator counterparts, then we investigate a fulfillment of these conditions in the Kerr-NUT-(A)dS and related spaces. We find the most general form of the weak electromagnetic field compatible with the complete integrability of the particle motion and the comutativity of the field operators. For such a field we solve the charged Hamilton-Jacobi and Klein-Gordon equations by separation of variables.
arXiv comment12 pages, 0 figures
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Cited by in corpus (6)
- Black holes, hidden symmetries, and complete integrability
- Maxwell's Equations in the Myers-Perry Geometry
- Black Hole Pulsar
- Separation of Maxwell equations in Kerr-NUT-(A)dS spacetimes
- Spacetimes with a separable Klein-Gordon equation in higher dimensions
- On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS spacetime