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

DOI10.1088/0264-9381/19/4/310zbMATH Open0999.83057arXivgr-qc/0101065OpenAlexW3101393467MaRDI QIDQ4330268

Publication date: 15 May 2002

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Abstract: 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 $s i m 5 i m e s 1 0^{- 3} a$ , where $a$ is the curvature radius of the loop.

Full work available at URL: https://arxiv.org/abs/gr-qc/0101065

zbMATH Keywords

linear perturbations initial condition thick loop cosmic string

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)