Abstract
Multidimensional theories still remain attractive from the point of view of better understanding of fundamental interactions. In this paper we present a new static spherically symmetric solution in a six-dimensional Kaluza–Klein theory with a dilaton field. The solution offers a nonperturbative answer to the problem of metric back--reaction due to presence of a dilaton field. The spacetime described in our paper is everywhere regular without event horizon like the Gross–Perry five-dimensional Kaluza–Klein soliton. The presence of massless dilaton field has the same dynamical effect on test particles as the existence of massive matter which opens up the possibility to consider the dilaton field as a candidate for dark matter.
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