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Note on reflection symmetry in stationary axisymmetric electrovacuum spacetimes

Leonardo A. Pachon·José D. Sanabria-Gómez
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Abstract

Recently Kordas (1995, Class. Quantum Grav. 12 2037) and Meinel and Neugebauer (1995, Class. Quantum Grav. 12 2045) studied the conditions for reflection symmetry in stationary axisymmetric space--times in vacuum. They found that a solution to the Einstein field equations is reflectionally symmetric if their Ernst's potential ${\cal E}(ρ=0,z)= e(z)$ on a portion of the positive z-axis extending to infinity satisfies the condition $e_{+}(z){e}_{+}^{*}(-z)=1$. In this note, we formulate an analogous conditions for two complex Ernst potentials in electrovacuum. We also present the special case of rational axis potentials.

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Leonardo A. Pachon, José D. Sanabria-Gómez. 2006-11-18. Note on reflection symmetry in stationary axisymmetric electrovacuum spacetimes. https://doi.org/10.1088/0264-9381%2F23%2F9%2Fn01

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