Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Metric Affine Manifold: Dynamics in General Relativity

Metric Affine Manifold: Dynamics in General Relativity

Kleyn, Aleks

Paperback

Geometry

ISBN10: 1482724375
ISBN13: 9781482724370
Publisher: Createspace
Published: Mar 21 2013
Pages: 40
Weight: 0.19
Height: 0.10 Width: 7.00 Depth: 10.00
Language: English
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.

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