Choptuik, Matthew W. and Hirschmann, Eric W. and Liebling, Steven L. and Pretorius, Frans (2003) An axisymmetric gravitational collapse code. Classical and Quantum Gravity, 20 (9). pp. 1857-1878. ISSN 0264-9381 http://resolver.caltech.edu/CaltechAUTHORS:20111011-110623779
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Abstract
We present a new numerical code designed to solve the Einstein field equations for axisymmetric spacetimes. The long-term goal of this project is to construct a code that will be capable of studying many problems of interest in axisymmetry, including gravitational collapse, critical phenomena, investigations of cosmic censorship and head-on black-hole collisions. Our objective here is to detail the (2+1)+1 formalism we use to arrive at the corresponding system of equations and the numerical methods we use to solve them. We are able to obtain stable evolution, despite the singular nature of the coordinate system on the axis, by enforcing appropriate regularity conditions on all variables and by adding numerical dissipation to hyperbolic equations.
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| Additional Information: | © 2003 IOP Publishing Ltd. Received 14 January 2003; Published 15 April 2003. The authors would like to thank David Garfinkle for helpful discussions. MWC would like to acknowledge financial support from NSERC and NSF PHY-9722068. FP would like to acknowledge NSERC, The Izaak Walton Killam Fund, Caltech’s Richard Chase Tolman Fund and NSF PHY-0099568 for financial support. EWH and SLL would like to acknowledge the support of NSF Grant PHY-9900644. SLL acknowledges support from grant NSF PHY-0139980 as well as the financial support of Southampton College. EWH also acknowledges the support of NSF grant PHY-0139782. The majority of the simulations described here were performed on UBC’s vn cluster (supported by CFI and BCKDF), and the MACI cluster at the University of Calgary (supported by CFI and ASRA). | ||||||||||||||||||||
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| Classification Code: | PACS: 95.30.Sf; 04.70.-s; 04.20.Dw; 04.25.D-; 04.20.Cv. MSC: 83C57; 83D05; 83C75. | ||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20111011-110623779 | ||||||||||||||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20111011-110623779 | ||||||||||||||||||||
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| Official Citation: | An axisymmetric gravitational collapse code Matthew W Choptuik et al 2003 Class. Quantum Grav. 20 1857 | ||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||
| ID Code: | 27161 | ||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||||
| Deposited On: | 11 Oct 2011 22:03 | ||||||||||||||||||||
| Last Modified: | 11 Oct 2011 22:03 |
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