Geodesic-invariant equations of gravitation
โ Scribed by L. Verozub
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 347 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0003-3804
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โฆ Synopsis
Einstein's equations of gravitation are not invariant under geodesic mappings, i.e. under a certain class of mappings of the Christoffel symbols and the metric tensor which leave the geodesic equations in a given coordinate system invariant. A theory in which geodesic mappings play the role of gauge transformations is considered.
๐ SIMILAR VOLUMES
In this paper we prove that if there exists an invariant torus with the rotation number (1, |) in the pendulum-type equation x =Q 0 x (t, x) for a given potential Q 0 =Q 0 (t, x) # C (T 2 ), and | is a Liouville number, then for any neighborhood N(Q 0 ) of Q 0 in the C topology, there exists a poten