2003/09/25 by Inyong Cho, Alexander Vilenkin
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.69.045005
published as Phys.Rev. D69 (2004) 045005 · 35 pages, revtex, 18 eps figures
arxiv created 2003/09/25 · openalex publication_date 2004/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 the symmetry-breaking scale \ensuremathη below the critical value \ensuremathηc, the defects are characterized by a flat worldsheet geometry and asymptotically flat extra dimensions. The critical scale \ensuremathηc is comparable to the higher-dimensional Planck scale and has some dependence on the gauge and scalar couplings. For \ensuremathη=\ensuremathηc, the extra dimensions degenerate into a ``cigar,'' and for \ensuremathη>\ensuremathηc 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.