Ellipsoidal universe in the brane world
arXiv:hep-th/0703117 · doi:10.1088/1475-7516/2007/07/001
Abstract
We study a scenario of the ellipsoidal universe in the brane world cosmology with a cosmological constant in the bulk . From the five-dimensional Einstein equations we derive the evolution equations for the eccentricity and the scale factor of the universe, which are coupled to each other. It is found that if the anisotropy of our universe is originated from a uniform magnetic field inside the brane, the eccentricity decays faster in the bulk in comparison with a four-dimensional ellipsoidal universe. We also investigate the ellipsoidal universe in the brane-induced gravity and find the evolution equation for the eccentricity which has a contribution determined by the four- and five-dimensional Newton's constants. The role of the eccentricity is discussed in explaining the quadrupole problem of the cosmic microwave background.
15 pages, 1 figure, Version 3, references added, contents expanded
References in corpus (33)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- 4D Gravity on a Brane in 5D Minkowski Space
- The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
- Heterotic and Type I String Dynamics from Eleven Dimensions
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- Accelerated Universe from Gravity Leaking to Extra Dimensions
- Brane cosmological evolution in a bulk with cosmological constant
- Cosmology on a Brane in Minkowski Bulk
- Cosmic Growth History and Expansion History
- Braneworld models of dark energy
- A high resolution foreground cleaned CMB map from WMAP
- The significance of the largest scale CMB fluctuations in WMAP
- Evidence of vorticity and shear at large angular scales in the WMAP data: a violation of cosmological isotropy?
- Constraining the Topology of the Universe
- More on ghosts in DGP model
- Supernovae, CMB, and Gravitational Leakage into Extra Dimensions
- Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
- Observational constraints on self-accelerating cosmology
- How Anisotropic is our Universe?
- Confronting Braneworld Cosmology with Supernova data and Baryon Oscillations
- On Brane World Cosmological Perturbations
- A Hint of Poincaré Dodecahedral Topology in the WMAP First Year Sky Map
- Supernova limits on brane world cosmology
- Super-acceleration on the Brane by Energy Flow from the Bulk
- Accelerating cosmologies tested by distance measures
- The eccentric universe
- Asymmetric inflation: exact solutions
- Testing the DGP model with ESSENCE
- Cosmic microwave background multipole alignments in slab topologies
- A note on the wellposedness of scalar brane world cosmological perturbations