Fifth force from fifth dimension: a comparison between two different approaches

Abstract

We investigate the dynamics of particles moving in a spacetime augmented by one extra dimension in the context of the induced matter theory of gravity. We examine the appearance of a fifth force as an effect caused by the extra dimension and discuss two different approaches to the fifth force formalism. We then give two examples of application of both approaches by considering the case of a Ricci-flat warped-product manifold and a generalized Randall-Sundrum space.

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References in corpus (9)

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Cited by in corpus (15)

• Warped product spaces and geodesic motion in the neighbourhood of hypersurfaces
• Confinement and stability of the motion of test particles in thick branes
• Stabilization of test particles in Induced Matter Kaluza-Klein theory
• Vacuum Waves
• Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces
• Noncompactified Kaluza--Klein Gravity
• On extra forces from large extra dimensions
• Higher Dimensional Cosmology: Relations among the radii of two homogeneous spaces
• Non-integrability and Mach's principle in Induced Matter Theory
• Semiclassical corrections to the Einstein equation and Induced Matter Theory
• 5-Dimensional Kaluza-Klein Theory with a Source
• The principle of least action for test particles in a four-dimensional spacetime embedded in 5D
• Embedding Gödel's universe in five dimensions
• On the classical confinement of test particles to a thin 3-brane in the absence of non-gravitational forces
• Intrinsic quantum dynamics of particles in brane gravity