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Dynamic Cosmic Strings II: Numerical evolution of excited Cosmic Strings
General Relativity and Quantum Cosmology · Submitted 31 Mar 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The interaction causes the string to oscillate at frequencies inversely proportional to the masses of the scalar and vector fields of the string.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
An implicit, fully characteristic, numerical scheme for solving the field equations of a cosmic string coupled to gravity is described. The inclusion of null infinity as part of the numerical grid 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 solutions, checking that static cosmic string 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 inversely 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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | An implicit, fully characteristic, numerical scheme for solving the field equations of a cosmic string coupled to gravity is described. | method 0.93 | 0.88 | 0.05 | asserted 0.98 |
| s1 | The inclusion of null infinity as part of the numerical grid allows us to apply suitable boundary conditions on the metric and matter fields to suppress unphysical divergent solutions. | method 0.98 | 0.85 | 0.04 | asserted 0.99 |
| s2 | The code is tested by comparing the results with exact solutions, checking that static cosmic string initial data remain constant when evolved and undertaking a time dependent convergence analysis of the code. | method 0.88 | 0.95 | 0.05 | asserted 0.90 |
| s3 | It is shown that the code is accurate, stable and exhibits clear second order convergence. | result 0.95 | 0.95 | 0.18 | asserted 1.00 |
| s4 | The code is used to analyse the interaction between a Weber--Wheeler pulse of gravitational radiation with the string. | contribution 0.90 | 0.92 | 0.07 | asserted 0.99 |
| s5 | The interaction causes the string to oscillate at frequencies inversely proportional to the masses of the scalar and vector fields of the string. | result 1.00 | 0.89 | 0.32 | asserted 1.00 |
| s6 | 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. | result 1.00 | 0.92 | 0.22 | asserted 1.00 |
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Original abstract
An implicit, fully characteristic, numerical scheme for solving the field equations of a cosmic string coupled to gravity is described. The inclusion of null infinity as part of the numerical grid 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 solutions, checking that static cosmic string 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 inversely 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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