Higher-dimensional DBI Solitons

Abstract

We study the theory of a (global) texture with DBI-like Lagrangian, the higher-dimensional generalization of the previously known chiral Born-Infeld theory. This model evades Derrick's theorem and enables the existence of solitonic solutions in arbitrary D-dimensions. We explicitly show the solutions in spherically-symmetric ansatz. These are examples of extended topological solitons. We then investigate the coupling of this theory to gravity, and obtain the static self-gravitating solitonic p-brane solutions. These non-singular branes can be identified as the smooth versions of cosmic p-branes which, in the thin-wall limit, suffers from naked singularities.

Some notation changed to avoid confusion; accepted for publication in Phys Rev D

References in corpus (13)

• Global topological k-defects
• Generalized Global Defect Solutions
• k-defects as compactons
• Gauge k-vortices
• K fields, compactons, and thick branes
• DBI Global Strings
• Localized D-dimensional global k-defects
• Dirac Born Infeld (DBI) Cosmic Strings
• A Self-gravitating Dirac-Born-Infeld Global Monopole
• Skyrme Branes
• Massive gravitons trapped inside a hypermonopole
• Graviton confinement inside hypermonopoles of any dimension
• Smooth tensionful higher-codimensional brane worlds with bulk and brane form fields

Cited by in corpus (6)

• On Bogomol'nyi Equations of Classical Solutions
• BPS solitons in a Dirac-Born-Infeld action
• Some exact BPS solutions for exotic vortices and monopoles
• Gravity of a noncanonical global monopole: conical topology and compactification
• On DBI Textures with Generalized Hopf Fibration
• Chiral Dirac-Born-Infeld solitons with SDiff symmetry