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arXiv · 1303.7219

A nonsingular spacetime defect

F. R. Klinkhamer·C. Rahmede
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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.

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F. R. Klinkhamer, C. Rahmede. 2014-04-18. A nonsingular spacetime defect. https://doi.org/10.1103/physrevd.89.084064

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