Weakly charged generalized Kerr-NUT-(A)dS spacetimes

Abstract

We find an explicit solution of the source free Maxwell equations in a generalized Kerr-NUT-(A)dS spacetime in all dimensions. This solution is obtained as a linear combination of the closed conformal Killing-Yano tensor $h_{ab}$, which is present in such a spacetime, and a derivative of the primary Killing vector, associated with $h_{ab}$. For the vanishing cosmological constant the obtained solution reduces to the Wald's electromagnetic field generated from the primary Killing vector.

4 pages, no figures v2: added references

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• Magnetized Reissner-Nordstrom-Taub-NUT spacetime and microscopic entropy
• Magnetized Kerr-Newman-Taub-NUT spacetimes
• Magnetized Kerr-Taub-NUT spacetime and Kerr/CFT correspondence
• Magnetized Taub-NUT spacetime
• On the uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
• Phase transition and entropic force in Reissner-Nordström-de Sitter spacetime
• Construction of test Maxwell fields with scale symmetry
• On type II(D) Einstein spacetimes in six dimensions