Dynamic Cosmic Strings I

Abstract

The field equations for a time dependent cylindrical cosmic string coupled to gravity are reformulated in terms of geometrical variables defined on a 2+1-dimensional spacetime by using the method of Geroch decomposition. Unlike the 4-dimensional spacetime the reduced case is asymptotically flat. A numerical method for solving the field equations which involves conformally compactifying the space and including null infinity as part of the grid is described. It is shown that the code reproduces the results of a number of vacuum solutions with one or two degrees of freedom. In the final section the interaction between the cosmic string and a pulse of gravitational radiation is briefly described. This will be fully analysed in the sequel.

RevTex, 17 pages, 20 images

References in corpus (3)

• Dynamics and integrability property of the chiral string model
• Cauchy-characteristic matching for a family of cylindrical vacuum solutions possessing both gravitational degrees of freedom
• Dynamic Cosmic Strings II: Numerical evolution of excited Cosmic Strings

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• Nonlinear evolution of cylindrical gravitational waves: numerical method and physical aspects
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• New frontiers in Numerical Relativity
• The thin string limit of Cosmic Strings coupled to gravity
• Non-linear numerical Schemes in General Relativity