On Scattering for Small Data of 2+1 Dimensional Equivariant Einstein-Wave Map System
arXiv:1511.09371 · doi:10.1007/s00023-017-0599-5
Abstract
We consider the Cauchy problem of 2+1 equivariant wave maps coupled to Einstein's equations of general relativity and prove that two separate (nonlinear) subclasses of the system disperse to their corresponding linearized equations in the large. Global asymptotic behaviour of 2+1 Einstein-wave map system is relevant because the system occurs naturally in 3+1 vacuum Einstein's equations.
Error from a previous work (Lemma 9.1 in Ref[1]) rectified. Original problem reduced to two special cases