The visible symmetries of the real potential space (f,ε,ψ,χ,κ) form a solvable Lie algebra, hidden symmetries act sectorially, and sectorial transformations applied to harmonic seeds produce charged and rotating branches in EMSF and frozen EMMSF theories.
5D Axisymmetric Stationary Solutions as Harmonic Maps
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abstract
We present the complete scheme of the application of the one-and two dimensional subspace and subgroups method to five-dimensional gravity with a $G_{3}$ group of motion. We do so in the space time and in the potential space formalisms. From this method one obtains the Kramer, Belinsky-Ruffini, Dobiasch-Maison, Cl\'{e}ment, Gross-Perry-Sorkin solutions etc. as special cases.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Potential Space Symmetries in Ernst-like Formulations of Einstein-Maxwell/ModMax-Scalar field Theories
The visible symmetries of the real potential space (f,ε,ψ,χ,κ) form a solvable Lie algebra, hidden symmetries act sectorially, and sectorial transformations applied to harmonic seeds produce charged and rotating branches in EMSF and frozen EMMSF theories.