Gravity of superheavy higher-dimensional global defects

Details Gravity of superheavy higher-dimensional global defects Gravity of superheavy higher-dimensional global defects

2003-04-25

arxiv.org/abs/hep-th/0304219v1

Phys.Rev. D68 (2003) 025013

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, revtex, 6 eps figures

Scientific paper

10.1103/PhysRevD.68.025013

Numerical solutions of Einstein's and scalar-field equations are found for a global defect in a higher-dimensional spacetime. The defect has a $(3+1)$-dimensional core and a ``hedgehog'' scalar-field configuration in $n=3$ extra dimensions. For sufficiently low symmetry-breaking scales $\eta$, the solutions are characterized by a flat worldsheet geometry and a constant solid deficit angle in the extra dimensions, in agreement with previous work. For $\eta$ above the higher-dimensional Planck scale, we find that static-defect solutions are singular. The singularity can be removed if the requirement of staticity is relaxed and defect cores are allowed to inflate. We obtain an analytic solution for the metric of such inflating defects at large distances from the core. The three extra dimensions of the nonsingular solutions have a ``cigar'' geometry. Although our numerical solutions were obtained for defects of codimension $n=3$, we argue that the conclusions are likely to apply to all $n\geq 3$.

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