Initial condition of a thick loop cosmic string and linear perturbations

Details Initial condition of a thick loop cosmic string and linear perturbations Initial condition of a thick loop cosmic string and linear perturbations

2001-01-17

arxiv.org/abs/gr-qc/0101065v4

Class.Quant.Grav. 19 (2002) 783-798

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 4 figures, RevTeX. Some spelling / grammar typos are corrected. Accepted for publication in Classical and Quantum Gr

Scientific paper

10.1088/0264-9381/19/4/310

The initial data of the gravitational field produced by a loop thick string is considered. We show that a thick loop is not a geodesic on the initial hypersurface, while a loop conical singularity is. This suggests that there is the ``{\it critical thickness}'' of a string, at which the linear perturbation theory with a flat space background fails to describe the gravity of a loop cosmic string. Using the above initial data, we also show that the linear perturbation around flat space is plausible if the string thickness is larger than $\sim5\times10^{-3}a$, where $a$ is the curvature radius of the loop.

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