Five-dimensional axisymmetric stationary solutions as harmonic maps

DOI10.1063/1.530590zbMath0806.53081arXivgr-qc/9401009OpenAlexW2760121340MaRDI QIDQ4300212

Tonatiuh Matos

Publication date: 19 February 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9401009

zbMATH Keywords

harmonic mapsaxisymmetric solution

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items

Five-dimensional axisymmetric spacetime solutions ⋮ Geodesic motion in the 5D magnetized Schwarzschild-like solutions ⋮ The rotating dyonic black holes of Kaluza-Klein theory ⋮ Rotating dyonic dipole black rings: exact solutions and thermodynamics ⋮ Multipole-like solutions in metric-affine gravity ⋮ Rotating 5D-Kaluza-Klein space-times from invariant transformations ⋮ ROTATING GROSS–PERRY–SORKIN DILATONS FROM FIVE-DIMENSIONAL KALUZA–KLEIN THEORY ⋮ Class of Einstein-Maxwell phantom fields: Rotating and magnetized wormholes ⋮ SU (N) - and SO(N)-invariant chiral fields: One- and two-dimensional subspaces ⋮ The harmonic map ansatz in gravitational theories

Cites Work

• Spherically symmetric solutions in five-dimensional general relativity
• Fibre bundles associated with space-time
• A magnetized object in Kaluza–Klein theory
• New Series of Exact Solutions for Gravitational Fields of Spinning Masses
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• Spherically symmetric black holes in Kaluza–Klein unification
• The linear problem for the five-dimensional projective field theory
• Subspaces and Subgroups in Five‐Dimensional Gravity
• Bäcklund transforms of chiral fields
• Exact solutions of SL(N,R)-invariant chiral equations one- and two-dimensional subspaces
• Reinterpretation of Jordan-Brans-Dicke theory and Kaluza-Klein cosmology