A spinning string. (English) Zbl 0753.35114
Summary: The Einstein-Cartan field equations are solved for a string source with spin-polarisation along the axis of symmetry. The interior solution is matched to an exterior vacuum space-time using Arkuszewski-Kopczyński- Ponomariev junction conditions. The exterior solution is a four dimensional extension of the space-time outside a spinning point particle in three-dimensional Einstein theory. It reduces to the geometry outside a conventional straight cosmic string in the case of vanishing spin.
MSC:
35Q75 | PDEs in connection with relativity and gravitational theory |
83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
Keywords:
Einstein-Cartan field equations; interior solution; exterior vacuum space-time; Arkuszewski-Kopczyński-Ponomariev junction conditions; exterior solution; four dimensional extension; three-dimensional Einstein theoryReferences:
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