Finding collineations of Kimura metrics
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Publication:1267046
DOI10.1023/A:1018872900412zbMath0911.53056OpenAlexW1620584947MaRDI QIDQ1267046
Publication date: 5 May 1999
Published in: General Relativity and Gravitation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1018872900412
symmetriesKilling vector fieldsaffine vector fieldsconformal collineationKimura type metricsprojective symmetrystatic spherically symmetric metrics
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) Computational methods for problems pertaining to relativity and gravitational theory (83-08)
Related Items
(Conformal) Killing vectors in the Newman-Penrose formalism ⋮ Computer algebra determination of symmetries in general relativity ⋮ Metrics admitting projective and c-projective vector fields ⋮ (Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry
Uses Software
Cites Work
- Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions
- Projective differential geometry and geodesic conservation laws in general relativity. II: Conservation laws
- On the significance of Killing tensors
- Equation of geodesic deviation and Killing tensors
- An algorithm for determining the size of symmetry groups
- Checking collineation vectors with REDUCE
- DIMSYM and LIE: Symmetry determination packages
- The verification of Killing tensor components for metrics in general relativity using the computer algebra system SHEEP
- On quadratic first integrals of the geodesic equations for type [22 spacetimes]
- The Hamilton-Cartan formalism in the calculus of variations
- Kinematic and dynamic properties of conformal Killing vectors in anisotropic fluids
- Affine collineations in Robertson–Walker space-time
- Geodesic first integrals with explicit path-parameter dependence in Riemannian space–times
- Toward a classification of dynamical symmetries in classical mechanics
- Finding abstract Lie symmetry algebras of differential equations without integrating determining equations
- Killing tensors from conformal Killing vectors
