Inflating magnetically charged braneworlds

Abstract

Numerical solutions of Einstein, scalar, and gauge field equations are found for static and inflating defects in a higher-dimensional spacetime. The defects have $(3+1)$-dimensional core and magnetic monopole configuration in $n=3$ extra dimensions. For symmetry-breaking scale $\eta$ below the critical value ${\eta }_c$, the defects are characterized by a flat worldsheet geometry and asymptotically flat extra dimensions. The critical scale ${\eta }_c$ is comparable to the higher-dimensional Planck scale and has some dependence on the gauge and scalar couplings. For $\eta ={\eta }_c$, the extra dimensions degenerate into a `cigar', and for $\eta >{\eta }_c$ all static solutions are singular. The singularity can be removed if the requirement of staticity is relaxed and defect cores are allowed to inflate. The inflating solutions have de Sitter worldsheets and cigar geometry in the extra dimensions. Exact analytic solutions describing the asymptotic behavior of these inflating monopoles are found and the parameter space of these solutions is analyzed.

35 pages, revtex, 18 eps figures

References in corpus (6)

• Gravity of superheavy higher-dimensional global defects
• Spacetime structure of the global vortex
• Inflating p-branes
• Gravity in higher codimension de Sitter Brane Worlds
• Brane world in a texture
• Multidimensional Global Monopole and Nonsingular Cosmology

Cited by in corpus (17)

• Bubbles of Nothing in Flux Compactifications
• Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time
• Decay of flux vacua to nothing
• Bubbles from Nothing
• Vacuum polarization by a composite topological defect
• Vacuum Polarization Effects on Flat Branes due to a Global Monopole
• Inflating Brane inside hyper-spherically symmetric defects
• Inflating branes inside abelian strings
• Pullback of the Volume Form, Integrable Models in Higher Dimensions and Exotic Textures
• Skyrme Branes
• Fermionic vacuum polarization in higher-dimensional global monopole spacetime
• Localising gravity in composite monopole brane worlds without bulk cosmological constant
• Excited DeSitter brane worlds localized by a kink
• Numerical Solutions of Inflating Higher Dimensional Global Defects
• Stability of inflating branes in a texture
• Scalar Hair of Global Defect and Black Brane World
• Inflating branes inside topological defects and periodic structures