Curvature collineations and the determination of the metric from the curvature in general relativity
Copyright policy )Curvature collineations and the determination of the metric from the curvature in general relativity
It is shown that for a very general class of space-times, the componentsR of the curvature tensor determine the metric components up to a constant conformal factor. This general class contains most of those cases which are usually considered to be interesting from the point of view of Einstein's general relativity theory. The connection between the above result and the existence of proper curvature collineations is given.
- University of Aberdeen United Kingdom
determination of the metric, components of the Riemann tensor, Local differential geometry of Lorentz metrics, indefinite metrics, Applications of local differential geometry to the sciences, curvature collineations, Gravitational energy and conservation laws; groups of motions, spacetime, geodesic deviation
determination of the metric, components of the Riemann tensor, Local differential geometry of Lorentz metrics, indefinite metrics, Applications of local differential geometry to the sciences, curvature collineations, Gravitational energy and conservation laws; groups of motions, spacetime, geodesic deviation
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