We study finite energy -equivariant wave maps from the (1+3)-dimensional spacetime where the metric on is given by The constant time slices are each given by a Riemannian manifold with two asymptotically Euclidean ends at that are connected by a 2-sphere at r = 0. The spacetime has appeared in the general relativity literature as a prototype wormhole geometry (but is not expected to exist in nature). Each -equivariant finite energy wave map can be indexed by its topological degree n. For each and n, there exists a unique, linearly stable energy minimizing -equivariant harmonic map of degree n. In this work, we prove the soliton resolution conjecture for this model. More precisely, we show that modulo a free radiation term every -equivariant wave map of degree n converges strongly to . This fully resolves a conjecture made by Bizon and Kahl. Previous work by the author proved this result for the corotational case and established many preliminary results that are used in the current work.
展开▼