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.

arXiv comment15 pages, 1 figure, to appear in Class. Quantum Grav

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• Confinement and stability of the motion of test particles in thick branes
• Braneworld Black Holes and Entropy Bounds
• Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces
• Noncompactified Kaluza--Klein Gravity
• Quantum mechanics and geodesic deviation in the brane world
• Non-integrability and Mach's principle in Induced Matter Theory
• Localization of gravity in brane world with arbitrary extra dimensions
• Variation of mass in primordial nucleosynthesis as a test of Induced Matter Brane Gravity
• Probing extra dimensions through cosmological observations of dark energy
• Semiclassical corrections to the Einstein equation and Induced Matter Theory
• Intrinsic quantum dynamics of particles in brane gravity