A topological metric in 2+1 dimensions

Abstract

A real-valued triplet of scalar fields as a source gives rise to a metric which tilts the scalar, not the light cone, in 2+1 dimensions. The topological metric is static, regular, and it is characterized by an integer kappa = +/- 1, +/- 2, ... The problem is formulated as a harmonic map of Riemannian manifolds in which the integer. equals the degree of the map.