We consider (d 0 + 2)-dimensional configurations with global strings in two extra dimensions and a flat metric in d 0 dimensions, endowed with a warp factor e 2γ depending on the distance l from the string center. All possible regular solutions of the field equations are classified by the behavior of the warp factor and the extradimensional circular radius r(l). Solutions with r → ∞ and r → const > 0 as l → ∞ are interpreted in terms of thick brane-world models. Solutions with r → 0 as l → l c > 0, i.e., those with a second center, are interpreted as either multibrane systems (which are appropriate for large enough distances l c between the centers) or as Kaluza-Klein-type configurations with extra dimensions invisible due to their smallness. In the case of the Mexican-hat symmetry-breaking potential, we build the full map of regular solutions on the (ε, Γ) parameter plane, where ε acts as an effective cosmological constant and Γ characterizes the gravitational field strength. The trapping properties of candidate brane worlds for test scalar fields are discussed. Good trapping properties for massive fields are found for models with increasing warp factors. Kaluza-Klein-type models are shown to have nontrivial warp factor behaviors, leading to matter particle mass spectra that seem promising from the standpoint of hierarchy problems. © 2008 Pleiades Publishing, Ltd.

Authors

Number of issue

2

Language

English

Pages

247-264

Status

Published

Link

Volume

106

Year

2008

Organizations

^{1}Center for Gravitation and Fundamental Metrology, VNIIMS, Moscow, 119361, Russian Federation^{2}Institute of Gravitation and Cosmology, PFUR, Moscow, 117198, Russian Federation^{3}Kapitza Institute for Physical Problems, Moscow, 117334, Russian Federation

Keywords

Gravitational effects; Hierarchical systems; Mass spectrometry; Mathematical models; Problem solving; Global strings; Matter trapping; Trapping properties; String theory

Date of creation

19.10.2018

Date of change

19.10.2018

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