Extra force and extra mass from noncompact Kaluza-Klein theory in a cosmological model

Abstract

Using the Hamilton-Jacobi formalism, we study extra force and extra mass in a recently introduced noncompact Kaluza-Klein cosmological model. We examine the inertial 4D mass $m_0$ of the inflaton field on a 4D FRW bulk in two examples. We find that $m_0$ has a geometrical origin and antigravitational effects on a non inertial 4D bulk should be a consequence of the motion of the fifth coordinate with respect to the 4D bulk.

arXiv commentfinal version to be published in EPJC

References in corpus (9)

• The Hierarchy Problem and New Dimensions at a Millimeter
• Cosmological Imprint of an Energy Component with General Equation of State
• Kaluza-Klein Gravity
• Null Geodesics in Five Dimensional Manifolds
• Single field inflationary models with non-compact Kaluza-Klein theory
• Inflationary cosmology from STM theory of gravity
• Invariant definition of rest mass and dynamics of particles in 4D from bulk geodesics in brane-world and non-compact Kaluza-Klein theories
• Origin of FRW cosmology in slow-roll inflation from noncompact Kaluza-Klein theory
• The Campbell--Magaard Theorem is inadequate and inappropriate as a protective theorem for relativistic field equations

Cited by in corpus (8)

• Modified Saez-Ballester scalar-tensor theory from 5D space-time
• Extended General Relativity: large-scale antigravity and short-scale gravity with ω=-1 from five dimensional vacuum
• Inflaton field governed universe from NKK theory of gravity: stochastic approach
• Geometrical origin of entropy during inflation from the STM theory of gravity
• On the classical confinement of test particles to a thin 3-brane in the absence of non-gravitational forces
• The bang of a white hole in the early universe from a 6D vacuum state: Origin of astrophysical spectrum
• Inflation from the bang of a white hole induced from a 6D vacuum state
• A scalar field governed cosmological model from noncompact Kaluza-Klein theory