Weyl Tensor: Differential Geometry, Hermann Weyl, Curvature, Spacetime, Riemannian Manifold, Riemann Curvature Tensor, Tidal Force, Ricci Curvature, Tensor Contraction, General Relativity - Couverture souple

Couverture souple

ISBN 10 : 613036637X ISBN 13 : 9786130366377

Editeur : Betascript Publishing, 2010

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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.

Détails de l'édition

• Éditeur: Betascript Publishing
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 613036637X
• ISBN 13: 9786130366377
• Reliure: Broché
• Nombre de pages: 124
• Éditeur: Surhone Lambert M., Timpledon Miriam T., Marseken Susan F.
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible