Stabilization of test particles in Induced Matter Kaluza-Klein theory

Abstract

The stability conditions for the motion of classical test particles in an -dimensional Induced Matter Kaluza-Klein theory is studied. We show that stabilization requires a variance of the strong energy condition for the induced matter to hold and that it is related to the hierarchy problem. Stabilization of test particles in a FRW universe is also discussed.

15 pages, 1 figure, to appear in Class. Quantum Grav

References in corpus (2)

• Wesson's IMT with a Weylian bulk
• An exact solution of the five-dimensional Einstein equations with four-dimensional de Sitter-like expansion

Cited by in corpus (6)

• Warped product spaces and geodesic motion in the neighbourhood of hypersurfaces
• Confinement and stability of the motion of test particles in thick branes
• Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces
• Non-integrability and Mach's principle in Induced Matter Theory
• Variation of mass in primordial nucleosynthesis as a test of Induced Matter Brane Gravity
• Semiclassical corrections to the Einstein equation and Induced Matter Theory