Induced inflation from a 5D purely kinetic scalar field formalism on warped product spaces
arXiv:0704.2434 · doi:10.1140/epjc/s10052-007-0439-8
Abstract
Considering a separable and purely kinetic 5D scalar field on a warped product metric background we propose a new and more general approach for inducing 4D scalar potentials on a 4D constant foliation of the 5D space-time. We obtain an induced potential for a true 4D scalar field instead of a potential for an effective 4D scalar field. In this formalism we can recover the usual 4D inflationary formalism with a geometrically induced inflationary potential. In addition the quantum confinement of the inflaton modes is obtained naturally from the model for at least a class of warping factors. Besides the 4D inflationary physics that results of this formalism is independent of the 4D-hypersurface chosen.
arXiv comment8 pages Accepted for publication in European Physical Journal C
References in corpus (18)
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- Kaluza-Klein Gravity
- Cosmology and Brane Worlds: A Review
- Extra Force in Brane Worlds
- Gravitoelectromagnetic inflation from a 5D vacuum state: a new formalism
- Accelerating universe in brane gravity with a confining potential
- Does The Force From an Extra Dimension Contradict Physics in 4D?
- Noncompact Kaluza-Klein theory and inflationary cosmology: a complete formalism
- de Sitter inflationary expansion from a noncompact KK theory: a nonperturbative quantum (scalar) field formalism
- Noncompact KK theory of gravity: stochastic treatment for a nonperturbative inflaton field in a de Sitter expansion
- Decaying cosmological parameter in the early universe from NKK theory of gravity
- Gauge-invariant metric fluctuations from NKK theory of gravity: de Sitter expansion
- Inflaton field governed universe from NKK theory of gravity: stochastic approach
- Origin of FRW cosmology in slow-roll inflation from noncompact Kaluza-Klein theory
- Gravitational Waves generated during inflation from a 5D vacuum theory of gravity in a de Sitter expansion
- Scalar Metric fluctuations in space time matter inflation