Five-dimensional axisymmetric stationary solutions as harmonic maps
- 1 March 1994
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 35 (3) , 1302-1321
- https://doi.org/10.1063/1.530590
Abstract
The complete scheme of the application of one‐ and two‐dimensional subspaces and the subgroups method to five‐dimensional gravity with a G3 group of motion are presented here in space–time and in potential space formalisms. From this method one obtains the Kramer, Belinsky–Ruffini, Dobiasch–Maison, Clément, Gross–Perry–Sorkin solutions, etc., as special cases.Keywords
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This publication has 33 references indexed in Scilit:
- Exact solutions of SL(N,R)-invariant chiral equations one- and two-dimensional subspacesJournal of Mathematical Physics, 1992
- Subspaces and Subgroups in Five‐Dimensional GravityAnnalen der Physik, 1989
- Kaluza-Klein theoriesReports on Progress in Physics, 1987
- The linear problem for the five‐dimensional projective field theoryAstronomische Nachrichten, 1986
- Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutionsJournal of Mathematical Physics, 1983
- On axially symmetric soliton solutions of the coupled scalar-vector-tensor equations in general relativityPhysics Letters B, 1980
- Fibre bundles associated with space-timeReports on Mathematical Physics, 1970
- Eine Methode zur Konstruktion stationärer EINSTEIN‐MAXWELL‐FelderAnnalen der Physik, 1969
- New Formulation of the Axially Symmetric Gravitational Field ProblemPhysical Review B, 1968
- Quantentheorie und f nfdimensionale Relativit tstheorieThe European Physical Journal A, 1926