On some euclidean einstein metrics
Copyright policy )On some euclidean einstein metrics
The authors study the complex manifold associated with a nonlinear superposition of the Eguchi-Hanson and the pseudo-Fubini-Study metrics. The apparent singularities of the metric can be resolved only if the Eguchi-Hanson parameter satisfies a certain condition with \(n\geq 3\). The authors give a geometrical explanation of this fact. A generalization of the Gegenberg-Das metric is given to obtain a triaxial vacuum solution.
- Technical University of Denmark Denmark
- Odense University Hospital Denmark
- Odense University Denmark
Special Riemannian manifolds (Einstein, Sasakian, etc.), Gegenberg-Das metric, Applications of local differential geometry to the sciences, vacuum solution, Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory, Einstein metric, pseudo-Fubini-Study metrics, Eguchi-Hanson metric
Special Riemannian manifolds (Einstein, Sasakian, etc.), Gegenberg-Das metric, Applications of local differential geometry to the sciences, vacuum solution, Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory, Einstein metric, pseudo-Fubini-Study metrics, Eguchi-Hanson metric
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