Weakly charged generalized Kerr-NUT-(A)dS spacetimes
classification
🌀 gr-qc
hep-th
keywords
solutiongeneralizedkerr-nut-killingobtainedprimaryspacetimevector
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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.
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