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Soleng, Harald H.

A spinning string. (English) Zbl 0753.35114

Gen. Relativ. Gravitation 24, No. 1, 111-117 (1992).
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.

Cited in 7 Documents

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 theory
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References:

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