Five-dimensional warped product space-time with time-dependent warp factor and cosmology of the four-dimensional universe
arXiv:1106.5743 · doi:10.1007/s10773-011-0877-9
Abstract
In this paper, we have studied a 5-dimensional warped product space-time with a time-dependent warp factor. This warp factor plays an important role in localizing matter to the 4-dimensional hypersurface constituting the observed universe and leads to a geometric interpretation of dynamical dark energy. The five-dimensional field equations are constructed and its solutions are obtained. The nature of modifications produced by this warp factor in the bulk geometry is discussed. The hypersurface is described by a flat FRW-type metric in the ordinary spatial dimension. It is found that the effective cosmological constant of the four-dimensional universe is a variable quantity monitored by the time-dependent warp factor. The universe is initially decelerated, but subsequently makes a transition to an accelerated phase at later times.
11 pages, no figures, accepted for publication in International Journal of Theoretical Physics
References in corpus (46)
- A Large Mass Hierarchy from a Small Extra Dimension
- 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
- 4D Gravity on a Brane in 5D Minkowski Space
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
- Non-conventional cosmology from a brane-universe
- Brane Inflation
- Brane cosmological evolution in a bulk with cosmological constant
- Cosmology on a Brane in Minkowski Bulk
- Cosmological Expansion in the Presence of an Extra Dimension
- Weak Scale Superstrings
- Cosmology of Brane Models with Radion Stabilization
- An exotic class of Kaluza-Klein models
- Cosmology of One Extra Dimension with Localized Gravity
- Dynamic Dilatonic Domain Walls
- Bulk Fields in the Randall-Sundrum Compactification Scenario
- Infinitely Large New Dimensions
- Spacetime as a membrane in higher dimensions
- Inflation in the five-dimensional universe with an orbifold extra dimension
- Cosmological Solutions of Horava-Witten Theory
- Cosmological 3-Brane Solutions
- Hierarchy problem in the shell-Universe model
- Our World as an Expanding Shell
- Rapid Asymmetric Inflation and Early Cosmology in Theories with Sub-Millimeter Dimensions
- Four Dimensionality in Non-compact Kaluza-Klein Model
- Non-conservation of Global Charges in the Brane Universe and Baryogenesis
- Inflation with TeV-scale gravity
- The accelerating universe in brane-world cosmology
- Gravitational Trapping for Extended Extra Dimension
- De Sitter brane-world, localization of gravity, and the cosmological constant
- Mass Hierarchy from Many Domain Walls
- Geometrical Constraints on the Cosmological Constant
- Tilting the Brane, or Some Cosmological Consequences of the Brane Universe
- Inflating Intersecting Branes and Remarks on the Hierarchy Problem
- Extra dimensions, warped compactifications and cosmic acceleration
- Warped product spaces and geodesic motion in the neighbourhood of hypersurfaces
- Mass Hierarchy and Trapping of Gravity
- Late Inflation and the Moduli Problem of Sub-Millimeter Dimensions
- Brane-world models emerging from collisions of plane waves in 5D
- Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces
- The warping of extra spaces accelerates the expansion of the universe
- Supergravity Inspired Warped Compactifications and Effective Cosmological Constants
- Brane Cosmology and Motion of Test Particles in Five-Dimensional Warped Product Spacetimes