M. Biesiada*, J. Syska**
University of Silesia, Institute of Physics,
Uniwersytecka 4, 40-007 Katowice, Poland
* Department of Astrophysics and Cosmology,
**Department of Theoretical Physics
Abstract
Multidimensional theories still remain
attractive from the point of view of better understanding of fundamental
interactions. In this paper we consider a six - dimensional Kaluza -- Klein
type model at the classical level. We derive static spherically symmetric
solutions to the multidimensional Einstein equations. They are fundamentally
different from four - dimensional Schwarzschild solutions: they are horizon
free and the presence of massless dilaton field has the same dynamical
effect as the existence of additional massive matter in the system.
Then we analyse the motion of test particles
in such spherically symmetric configurations. The emphasis is put on some
observable quantities like redshifts. It is suggested that strange features
of emission lines from active galactic nuclei as well as quasar - galaxy
associations may in fact be manifestations of multidimensionality of our
world.