Kinks and extensions

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Abstract
Kinks, homotopically nontrivial lightcone fields on R4, can be black holes without curvature singularities, satisfying the weak energy condition. Kinks and all other spherically symmetric stationary spacetimes on R4 with roots of g00 have incomplete geodesics which need extension. For simple roots the Kruskal extension method works and the topology around each root is that of the Kruskal manifold. For multiple roots another extension method is given, based on symmetry, and another topology.