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Metric Affine Manifold (Russian Edition): Dynamics in General Relativity
Contributor(s): Kleyn, Aleks (Author)

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ISBN: 1482738309     ISBN-13: 9781482738308
Publisher: Createspace Independent Publishing Platform
OUR PRICE: $23.75  

Binding Type: Paperback
Language: Russian
Published: March 2013
Qty:
Additional Information
BISAC Categories:
- Mathematics | Geometry - Differential
Physical Information: 0.11" H x 7" W x 10" L (0.21 lbs) 44 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
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\hyph affinne manifold. Using this concept I learn dynamics in general relativity. We call a manifold with torsion and nonmetricity the metric\hyph 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.
 
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