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

Lambert M Surhone

ISBN 10: 613036637X / ISBN 13: 9786130366377

Edité par VDM Verlag Dr. Müller E.K., 2010

A propos de cet article

nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! 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.

N° de réf. du vendeur 9786130366377

Détails bibliographiques

• Titre: Weyl Tensor : Differential Geometry, Hermann Weyl, Curvature, Spacetime, Riemannian Manifold, Riemann Curvature Tensor, Tidal Force, Ricci Curvature, Tensor Contraction, General Relativity
• Éditeur: VDM Verlag Dr. Müller E.K.
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 613036637X
• ISBN à 13 chiffres: 9786130366377
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 22 L x 15 H x 0,7 P (centimètres) 22 centimètres de largeur par 15 centimètres de hauteur par 0,7 centimètres de profondeur
• Poids: 201 grammes

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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.