The evolution of FLRW spacetime after the birth of a cosmic string

Details The evolution of FLRW spacetime after the birth of a cosmic string The evolution of FLRW spacetime after the birth of a cosmic string

2011-12-12

arxiv.org/abs/1112.2478v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 2 figures

Scientific paper

We consider the evolution of an initially FLRW universe after the formation of a long, straight, cosmic string with arbitrary tension and mass per unit length. The birth of the string sources scalar and tensor-type perturbations in the background metric and both density and velocity perturbations in the background fluid, which compensate for the string mass and maintain energy conservation. The former generate the deficit angle within the light cone of the string and a gravitational shock front at the cosmological horizon, whereas the latter are confined within the sound cone. We study the properties of the metric within each region of the resulting spacetime and give the explicit coordinate transformations which demonstrate non-violation of causality. This paper generalizes the work of Magueijo, who performed a similar analysis for the Nambu-Goto (NG) string, but the solutions given here differ from the ones he obtained, even in the NG limit. We believe this to be a consequence of the choice of boundary conditions for the Poisson equation and show that Magueijo's choice is inconsistent with the trace part of the Einstein equations. However, the general qualitative picture remains the same and the method of analysis follows closely his original work.

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