5D Axisymmetric Stationary Solutions as Harmonic Maps
Tonatiuh Matos
TL;DR
This paper develops a comprehensive method for deriving five-dimensional axisymmetric stationary solutions in gravity theories, unifying various known solutions through subgroup techniques in spacetime and potential space formalisms.
Contribution
It introduces a complete scheme applying subgroup methods to generate solutions in 5D gravity, encompassing many known solutions as special cases.
Findings
Unified framework for 5D stationary solutions
Derivation of multiple known solutions as special cases
Application of subgroup methods in spacetime and potential space formalisms
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 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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