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Dynamic cosmic strings II: numerical evolution of excited cosmic strings

Dynamic cosmic strings II: numerical evolution of excited cosmic strings
Dynamic cosmic strings II: numerical evolution of excited cosmic strings
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 analyze 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.
1550-7998
024012-[15pp]
Sperhake, U.
cf4a7e32-ded0-4733-92a7-89318207c158
Sjodin, K.R.P.
0ba2a619-c389-49cc-89c5-02b3d531cf5b
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
Sperhake, U.
cf4a7e32-ded0-4733-92a7-89318207c158
Sjodin, K.R.P.
0ba2a619-c389-49cc-89c5-02b3d531cf5b
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634

Sperhake, U., Sjodin, K.R.P. and Vickers, J.A. (2001) Dynamic cosmic strings II: numerical evolution of excited cosmic strings. Physical Review D, 63 (2), 024012-[15pp]. (doi:10.1103/PhysRevD.63.024012).

Record type: Article

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 analyze 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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More information

Published date: January 2001

Identifiers

Local EPrints ID: 39021
URI: http://eprints.soton.ac.uk/id/eprint/39021
ISSN: 1550-7998
PURE UUID: 831bf978-956f-4b34-9bd1-94c88d2b8074
ORCID for J.A. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

Catalogue record

Date deposited: 19 Jun 2006
Last modified: 28 Jun 2022 01:32

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Contributors

Author: U. Sperhake
Author: K.R.P. Sjodin
Author: J.A. Vickers ORCID iD

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