Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Weyl_tensor> ?p ?o. }
Showing items 1 to 34 of
34
with 100 items per page.
- Weyl_tensor abstract "In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo-Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic. The Weyl tensor differs from the Riemann curvature tensor in that it does not convey information on how the volume of the body changes, but rather only how the shape of the body is distorted by the tidal force. The Ricci curvature, or trace component of the Riemann tensor contains precisely the information about how volumes change in the presence of tidal forces, so the Weyl tensor is the traceless component of the Riemann tensor. It is a tensor that has the same symmetries as the Riemann tensor with the extra condition that it be trace-free: metric contraction on any pair of indices yields zero.In general relativity, the Weyl curvature is the only part of the curvature that exists in free space—a solution of the vacuum Einstein equation—and it governs the propagation of gravitational radiation through regions of space devoid of matter. More generally, the Weyl curvature is the only component of curvature for Ricci-flat manifolds and always governs the characteristics of the field equations of an Einstein manifold.In dimensions 2 and 3 the Weyl curvature tensor vanishes identically. In dimensions ≥ 4, the Weyl curvature is generally nonzero. If the Weyl tensor vanishes in dimension ≥ 4, then the metric is locally conformally flat: there exists a local coordinate system in which the metric tensor is proportional to a constant tensor. This fact was a key component of Nordström's theory of gravitation, which was a precursor of general relativity.".
- Weyl_tensor wikiPageID "1026848".
- Weyl_tensor wikiPageRevisionID "556682467".
- Weyl_tensor hasPhotoCollection Weyl_tensor.
- Weyl_tensor id "Weyl_tensor".
- Weyl_tensor title "Weyl tensor".
- Weyl_tensor subject Category:Riemannian_geometry.
- Weyl_tensor subject Category:Tensors_in_general_relativity.
- Weyl_tensor type Abstraction100002137.
- Weyl_tensor type Cognition100023271.
- Weyl_tensor type Concept105835747.
- Weyl_tensor type Content105809192.
- Weyl_tensor type Idea105833840.
- Weyl_tensor type PsychologicalFeature100023100.
- Weyl_tensor type Quantity105855125.
- Weyl_tensor type Tensor105864481.
- Weyl_tensor type TensorsInGeneralRelativity.
- Weyl_tensor type Variable105857459.
- Weyl_tensor comment "In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo-Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic.".
- Weyl_tensor label "Tenseur de Weyl".
- Weyl_tensor label "Tensor de Weyl".
- Weyl_tensor label "Tensore di Weyl".
- Weyl_tensor label "Weyl tensor".
- Weyl_tensor label "Тензор Вейля".
- Weyl_tensor sameAs Tenseur_de_Weyl.
- Weyl_tensor sameAs Tensore_di_Weyl.
- Weyl_tensor sameAs 바일_곡률_텐서.
- Weyl_tensor sameAs Tensor_de_Weyl.
- Weyl_tensor sameAs m.03_gcm.
- Weyl_tensor sameAs Q869108.
- Weyl_tensor sameAs Q869108.
- Weyl_tensor sameAs Weyl_tensor.
- Weyl_tensor wasDerivedFrom Weyl_tensor?oldid=556682467.
- Weyl_tensor isPrimaryTopicOf Weyl_tensor.