Published January 1, 2015
| Version v1
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A topological metric in 2+1 dimensions
Creators
- 1. Department of Physics, Eastern Mediterranean University, Gazimag̃usa, Turkey
Description
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 κ=±1,±2,… The problem is formulated as a harmonic map of Riemannian manifolds in which the integer κ equals the degree of the map.
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