Scalar Hair of Global Defect and Black Brane World
arXiv:hep-th/0401207 · doi:10.1088/1126-6708/2004/06/052
Abstract
We consider a complex scalar field in (p+3)-dimensional bulk with a negative cosmological constant and study global vortices in two extra-dimensions. We reexamine carefully the coupled scalar and Einstein equations, and show that the boundary value of scalar amplitude at infinity of the extra-dimensions should be smaller than vacuum expectation value. The brane world has a cigar-like geometry with an exponentially decaying warp factor and a flat thick p-brane is embedded. Since a coordinate transformation identifies the obtained brane world as a black p-brane world bounded by a horizon, this strange boundary condition of the scalar amplitude is understood as existence of a short scalar hair.
arXiv comment26 pages, 2 figures
References in corpus (58)
- 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
- Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
- Modeling the fifth dimension with scalars and gravity
- Field Theory of Tachyon Matter
- Universal Aspects of Gravity Localized on Thick Branes
- Four-dimensional gravity on a thick domain wall
- Bent Domain Walls as Braneworlds
- Localizing Gravity on a String-Like Defect in Six Dimensions
- Solving the Hierarchy Problem with Noncompact Extra Dimensions
- Inflation in the five-dimensional universe with an orbifold extra dimension
- Nonsingular global string compactifications
- General Properties of the Self-tuning Domain Wall Approach to the Cosmological Constant Problem
- Localization of Matters on a String-like Defect
- Inflation and Gauge Hierarchy in Randall-Sundrum Compactification
- Thick domain walls and singular spaces
- A Critical Cosmological Constant from Millimeter Extra Dimensions
- Casimir Energy and Radius Stabilization in Five and Six Dimensional Orbifolds
- Living Inside a Hedgehog: Higher-dimensional Solutions that Localize Gravity
- Gravity of higher-dimensional global defects
- Warp Factors and Extended Sources in Two Transverse Dimensions
- Consistency Conditions for Brane Worlds in Arbitrary Dimensions
- Warped compactification on Abelian vortex in six dimensions
- A 6-D Brane World Model
- Solving the Hierarchy Problem with Exponentially Large Dimensions
- A Solution to the Hierarchy Problem with an Infinitely Large Extra Dimension and Moduli Stabilization
- Bosonic Fields in the String-like Defect Model
- Self-gravity of Brane Worlds: A New Hierarchy Twist
- Brane-Universe in Six Dimensions
- Localizing gravity on a 't Hooft-Polyakov monopole in seven dimensions
- Localized gravity and mass hierarchy in D=6 with the Gauss-Bonnet term
- Hodge Duality on the Brane
- Gauge Symmetry and Localized Gravity in M Theory
- Gravity localization on string-like defects in codimension two and the AdS/CFT correspondence
- A universe in a global monopole
- Spacetime structure of the global vortex
- The cosmological gravitating model: solitons and black holes
- The Randall-Sundrum Scenario with an Extra Warped Dimension
- A Solitonic 3-Brane in 6D Bulk
- Nonsingular deformations of singular compactifications, the cosmological constant, and the hierarchy problem
- Inflating magnetically charged braneworlds
- Gravitating global defects: the gravitational field and compactification
- Gravity localization with a domain wall junction in six dimensions
- Warped Geometry in Higher Dimensions with an Orbifold Extra Dimension
- Global Vortex and Black Cosmic String
- Global p-Brane World: A New Approach to Stable Mass Hierarchy
- Troubles with Spacetime Noncommutative Theories: Tachyons or S-branes?
- Gravitating Model Solitons
- Solving the Hierarchy Problem with Brane Crystals
- Charged Black Cosmic String
- Path integral formulation of Hodge duality on the brane
- Global Black Branes (Extended Global Defects Surrounded by Horizons), Brane Worlds and the Cosmological Constant
- Warped Compactification with an Abelian Gauge Theory
- Localizing Gravity on a 3-brane in Higher Dimensions
- Some Properties of Pole Solution in Six Dimensions
- Black Brane World from Gravitating Half -lump