Geodesic-invariant equations of gravitation
arXiv:0801.3425 · doi:10.1002/andp.200710278
Abstract
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.
Latex, 24 pages with 5 figures