  We illustrate the main features of a new Kaluza-Klein-like scheme (Deformed
Relativity in five dimensions). It is based on a five-dimensional Riemannian
space in which the four-dimensional space-time metric is deformed (i.e. it
depends on the energy) and energy plays the role of the fifth dimension. We
review the solutions of the five-dimensional Einstein equations in vacuum and
the geodetic equations in some cases of physical relevance. The Killing
symmetries of the theory for the energy-dependent metrics corresponding to the
four fundamental interactions (electromagnetic, weak, strong and gravitational)
are discussed for the first time. Possible developments of the formalism are
also briefly outlined.
