Inflating Brane inside hyper-spherically symmetric defects

Abstract

Static and inflating brane world models are considered in $4+n$-dimensions with a non zero bulk cosmological constant and with a hyper-spherically symmetric topological defect residing in the $n$ extra dimensions. Several vacuum solutions can be constructed explicitely when the bulk and inflating constants are non zero. We study how these solutions are deformed by the presence of a global monopole for generic values of $n$ and a local monopole for $n=3$. New types of solutions, regular and periodic in the radial variable relative to the extra dimensions, are constructed.

23 pages, 9 figures, results extended, references added

References in corpus (2)

• Inflating branes inside abelian strings
• Localising gravity in composite monopole brane worlds without bulk cosmological constant

Cited by in corpus (3)

• Cosmological constant, brane tension and large hierarchy in a generalized Randall-Sundrum braneworld scenario
• Cosmological monopoles and non-abelian black holes
• Inflating branes inside topological defects and periodic structures