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Improved gauge driver for the generalized harmonic Einstein system

Lindblom, Lee and Szilágyi, Béla (2009) Improved gauge driver for the generalized harmonic Einstein system. Physical Review D, 80 (8). Art. No. 084019 . ISSN 0556-2821.

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A new gauge driver is introduced for the generalized harmonic (GH) representation of Einstein's equation. This new driver allows a rather general class of gauge conditions to be implemented in a way that maintains the hyperbolicity of the combined evolution system. This driver is more stable and effective and, unlike previous drivers, allows stable evolutions using the dual-frame evolution technique. Appropriate boundary conditions for this new gauge driver are constructed, and a new boundary condition for the “gauge” components of the spacetime metric in the GH Einstein system is introduced. The stability and effectiveness of this new gauge driver are demonstrated through numerical tests, which impose a new damped-wave gauge condition on the evolutions of single black-hole spacetimes.

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Additional Information:© 2009 The American Physical Society. Received 30 April 2009; published 14 October 2009. We thank Mark Scheel and Keith Matthews for helpful discussions concerning this work. This work was supported in part by grants from the Sherman Fairchild Foundation, by NSF Grants No. DMS-0553302, No. PHY-0601459, and No. PHY-0652995, and by NASA Grant No. NNX09AF97G. Some of the computations for this investigation were performed at the Jet Propulsion Laboratory using computers funded by the JPL Office of the Chief Information Officer.
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Sherman Fairchild Foundation UNSPECIFIED
Classification Code:PACS: 04.25.D-; 02.60.Cb; 04.20.Cv; 04.25.dg.
Record Number:CaltechAUTHORS:20091124-150750082
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Official Citation:Improved gauge driver for the generalized harmonic Einstein system Lee Lindblom and Bela Szilagyi, Phys. Rev. D 80, 084019 (2009), DOI:10.1103/PhysRevD.80.084019
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16797
Deposited By: Tony Diaz
Deposited On:08 Dec 2009 22:04
Last Modified:26 Dec 2012 11:34

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