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The stability conditions for the motion of classical test particles in an $%n $-dimensional Induced Matter Kaluza-Klein theory is studied. We show thatstabilization requires a variance of the strong energy condition for theinduced matter to hold and that it is related to the hierarchy problem.Stabilization of test particles in a FRW universe is also discussed.Comment: 15 pages, 1 figure, to appear in Class. Quantum Gra

Stabilization of test particles in induced matter Kaluza–Klein theory