Abstract
We show that for a wide class of field equations the orbits of the isometry group defining axial symmetry and stationarity admit orthogonal 2-surfaces. The field equations covered by this result include those of a perfect fluid.
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We gratefully acknowledge the support by the Akademie der Wissenschaften und der Literatur in Mainz.
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Kundt, W., Trümper, M. Orthogonal decomposition of axi-symmetric stationary spacetimes. Z. Physik 192, 419–422 (1966). https://doi.org/10.1007/BF01325677
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DOI: https://doi.org/10.1007/BF01325677