Gravity of superheavy higher-dimensional global defects

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 η, 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 η 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 ∗Electronic address: [email protected] †Electronic address: [email protected]