SYMMETRIC SPACE PROPERTY AND AN INVERSE SCATTERING FORMULATION OF THE SAS EINSTEIN-MAXWELL FIELD EQUATIONS
1984
7 pages
Published in:
- J.Math.Phys. 25 (1984) 1489-1495
DOI:
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Abstract: (AIP)
We formulate stationary axially symmetric (SAS) Einstein–Maxwell fields in the framework of harmonic mappings of Riemannian manifolds and show that the configuration space of the fields is a symmetric space. This result enables us to embed the configuration space into an eight‐dimensional flat manifold and formulate SAS Einstein–Maxwell fields as a σ‐model. We then give, in a coordinate free way, a Belinskii–Zakharov type of an inverse scattering transform technique for the field equations supplemented by a reduction scheme similar to that of Zakharov–Mikhailov and Mikhailov–Yarimchuk.- Einstein-Maxwell equation
- INVERSE SCATTERING METHOD
- FIELD THEORETICAL MODEL: SIGMA
- TRANSFORMATION: GAUGE
- SYMMETRY: INTERNAL
- TRANSFORMATION: BAECKLUND
- FIELD EQUATIONS: SOLITON
- BOUNDARY CONDITION
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