A Brane model with two asymptotic regions
arXiv:hep-th/0408089 · doi:10.1103/PhysRevD.71.044026
Abstract
Some brane models rely on a generalization of the Melvin magnetic universe including a complex scalar field among the sources. We argue that the geometric interpretation of Kip.S.Thorne of this geometry restricts the kind of potential a complex scalar field can display to keep the same asymptotic behavior. While a finite energy is not obtained for a Mexican hat potential in this interpretation, this is the case for a potential displaying a broken phase and an unbroken one. We use for technical simplicity and illustrative purposes an ad hoc potential which however shares some features with those obtained in some supergravity models. We construct a sixth dimensional cylindrically symmetric solution which has two asymptotic regions: the Melvin-like metric on one side and a flat space displaying a conical singularity on the other. The causal structure of the configuration is discussed. Unfortunately, gravity is not localized on the brane.
9 pages revtex, 4 figures,version to appear in PRD
References in corpus (10)
- Linear dilaton black holes
- Uniqueness of (dilatonic) charged black holes and black p-branes in higher dimensions
- Quasinormal Modes of Charged Dilaton Black Holes in 2+1 Dimensions
- QED from six-dimensional vortex and gauge anomalies
- Einstein static universe as a brane in extra dimensions
- Asymptotically non-flat rotating dilaton black holes
- Localisation and mass generation for non-Abelian gauge fields
- A cigar-like Universe
- Quasilocalized gravity without asymptotic flatness
- Geometric Dilaton Coupling and Smooth Charged Wormholes