We prove existence in the Minkowski space of entire spacelike hypersurfaces with constant negative scalar curvature and given set of lightlike directions at infinity; we also construct the entire scalar curvature flow with prescribed set of lightlike directions at infinity, and prove that the flow converges to a spacelike hypersurface with constant scalar curvature. The proofs rely on barriers construction and a priori estimates.
"Entire Scalar Curvature Flow and Hypersurfaces of Constant Scalar Curvature in Minkowski Space." Methods Appl. Anal. 16 (1) 87 - 118, March 2009.