๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Geodesic-invariant equations of gravitation

โœ Scribed by L. Verozub


Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
347 KB
Volume
17
Category
Article
ISSN
0003-3804

No coin nor oath required. For personal study only.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Destruction of Invariant Tori in Pendulu
โœ Hai Huang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 354 KB

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