Abstract. We consider the late-time asymptotic behavior for solutions of Einstein's equations with the wave map matter. Using the third-order perturbation expansion about the flat spacetime we show that solutions starting from small compactly supported -equivariant initial data with ≥ 1 decay as t⁻⁽²⁺²⁾ at future timelike infinity and as u⁻⁽⁺¹⁾ at future null infinity.

PACS numbers: 04.40.Nr, 04.25.Nx

Print publication: Issue 22 (21 November 2009)
Received 17 June 2009, in final form 6 September 2009
Published 23 October 2009