Metric Affine Manifold: Dynamics in General Relativity - Couverture souple

Kleyn, Aleks

Couverture souple

ISBN 10 : 1482724375 ISBN 13 : 9781482724370

Editeur : CreateSpace Independent Publishing Platform, 2013

Synopsis

I tell about different mathematical tool that is important in general relativity. The text of the book includes definition of geometric object, concept of reference frame, geometry of metric affinne manifold. Using this concept I learn dynamics in general relativity.We call a manifold with torsion and nonmetricity the metric affine manifold. The nonmetricity leads to a difference between the auto parallel line and the extreme line, and to a change in the expression of the Frenet transport. The torsion leads to a change in the Killing equation. We also need to add a similar equation for the connection.The dynamics of a particle follows to the Frenet transport. The analysis of the Frenet transport leads to the concept of the Cartan connection which is compatible with the metric tensor. We need additional physical constraints to make a nonmetricity observable.

A propos du livre

À propos de l'auteur

The whole my life was dedicated to solve one of the greatest mysteries that I met in the beginning of my life. Since Einstein introduced general relativity, the close relation between geometry and physics became a reality. At the same time, quantum mechanics introduced new concepts that contradicted a tradition established during centuries. This meant that we need new geometric concepts that will become part of the language of quantum mechanics.

Détails de l'édition

• Éditeur: CreateSpace Independent Publishing Platform
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 1482724375
• ISBN 13: 9781482724370
• Reliure: Broché
• Nombre de pages: 38
• Coordonnées du fabricant: Printed by Amazon on behalf of the author; https://www.amazon.fr/hz/contact-us; ; c/o Amazon Media EU S.à.r.l., 38 Avenue John F. Kennedy; Luxembourg; L-1855; Luxembourg