A nonsingular spacetime defect

Abstract

A nonsingular localized static classical solution is constructed for standard Einstein gravity coupled to an $SO(3)\times SO(3)$ chiral model of scalars (Skyrme model). This solution corresponds to a spacetime defect and its construction proceeds in three steps. First, an \textit{Ansatz} is presented for a solution with nonsimply connected topology of the spacetime manifold. Second, an exact vacuum solution of the reduced field equations is obtained. Third, matter fields are included and a particular exact solution of the reduced field equations is found. The latter solution has a diverging total energy, but its existence at least demonstrates that a nonsingular defect-type solution having nonsimply connected topology is possible with nontrivial matter fields.

20 pages, v8: published version

References in corpus (4)

• Bounds on length scales of classical spacetime foam models
• Black-hole solution without curvature singularity
• Black-hole solution without curvature singularity and closed timelike curves
• Standard Model Higgs field and energy scale of gravity

Cited by in corpus (6)

• Regularised Kalb-Ramond Magnetic Monopole with Finite Energy
• A new type of nonsingular black-hole solution in general relativity
• Comparison of spacetime defects which are homeomorphic but not diffeomorphic
• Skyrmion spacetime defect
• Nonlinear rigid-body quantization of Skyrmions
• Regularization of the Reissner-Nordström black hole