Vacuum Energy Density and Cosmological Constant in dS Brane World

Abstract

We discuss the vacuum energy density and the cosmological constant of dS${}_5$ brane world with a dilaton field. It is shown that a stable AdS${}_4$ brane can be constructed and gravity localization can be realized. An explicit relation between the dS bulk cosmological constant and the brane cosmological constant is obtained. The discrete mass spectrum of the massive scalar field in the AdS${}_4$ brane is used to acquire the relationship between the brane cosmological constant and the vacuum energy density. The vacuum energy density in the brane gotten by this method is in agreement with astronomical observations.

arXiv comment16 pages,4 figures

References in corpus (30)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• The Cosmological Constant
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Constraining dark energy with SNe Ia and large-scale structure
• Cosmological Expansion in the Presence of an Extra Dimension
• Cosmology of Brane Models with Radion Stabilization
• Cosmology of One Extra Dimension with Localized Gravity
• Cosmology from Maxima-1, Boomerang and COBE/DMR CMB Observations
• Self-tuning flat domain walls in 5d gravity and string theory
• General Properties of the Self-tuning Domain Wall Approach to the Cosmological Constant Problem
• The Case for an Accelerating Universe from Supernovae
• Localized Gravity in String Theory
• Brane cosmological perturbations
• Unification and the Hierarchy from AdS5
• The BOOMERanG experiment and the curvature of the Universe
• Tests for Gaussianity of the MAXIMA-1 CMB Map
• Bounds on curved domain walls in 5d gravity
• Evidence for a Positive Cosmological Constant from Flows of Galaxies and Distant Supernovae
• Localization of Gravity on Brane Embedded in $Ad{S}_5$ and $d{S}_5$
• Radion and Large Scale Anisotropy on the Brane
• Localized gravity on de Sitter brane in five dimensions
• Dynamics of Massive Scalar Fields in dS Space and the dS/CFT Correspondence
• AdS Dynamics for Massive Scalar Field: exact solutions vs. bulk-boundary propagator
• Matching the observed cosmological constant with vacuum energy density in AdS
• Minkowski Brane in Asymptotic dS${}_5$ Spacetime without Fine-tuning

Cited by in corpus (1)

• The nature of cosmological singularities in isotropic universes and braneworlds