Eur. Phys. J. C (2015) 75: 249
https://doi.org/10.1140/epjc/s10052-015-3476-8

Regular Article - Theoretical Physics

A topological metric in 2+1 dimensions

Department of Physics, Eastern Mediterranean University, Gazimag̃usa, Turkey

^* e-mail: habib.mazhari@emu.edu.tr

Received: 15 April 2015
Accepted: 25 May 2015
Published online: 4 June 2015

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 The problem is formulated as a harmonic map of Riemannian manifolds in which the integer equals the degree of the map.