Physics
Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1721s&link_type=abstract
"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R
Physics
Scientific paper
The field equations for a time dependent cylindrical cosmic string1 coupled to gravity are reformulated in terms of geometrical variables defined on a 2 + 1-dimensional spacetime by using the method of Geroch decomposition2. Unlike the 4-dimensional spacetime the reduced case is asymptotically flat. The numerical method chosen to solve the field equations of a cosmic string coupled to gravity is an implicit, fully characteristic, numerical scheme3 which involves conformally compactifying4 the space and including null infinity as part of the grid. This allows us to apply suitable boundary conditions on the metric and matter fields to suppress unphysical divergent solutions. The code is tested by comparing the results with exact solutions5 6 7, checking that static cosmic string8 9 initial data remain constant when evolved and undertaking a time dependent convergence analysis of the code. It is shown that the code is accurate, stable and exhibits clear second order convergence. The code is used to analyse the interaction between a Weber-Wheeler pulse of gravitational radiation with the string. The interaction causes the string to oscillate at frequencies proportional to the masses of the scalar and vector fields of the string. After the pulse has largely radiated away the string continues to ring but the oscillations slowly decay and eventually the variables return to their static values.
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