Weak-Field Gravity of Circular Cosmic Strings

Details Weak-Field Gravity of Circular Cosmic Strings Weak-Field Gravity of Circular Cosmic Strings

1992-11-09

arxiv.org/abs/gr-qc/9211011v1

Phys.Rev. D47 (1993) 468-473

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

10.1103/PhysRevD.47.468

A weak-field solution of Einstein's equations is constructed. It is generated by a circular cosmic string externally supported against collapse. The solution exhibits a conical singularity, and the corresponding deficit angle is the same as for a straight string of the same linear energy density. This confirms the deficit-angle assumption made in the Frolov-Israel-Unruh derivation of the metric describing a string loop at a moment of time symmetry.

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