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First-order symmetrizable hyperbolic formulations of Einstein's equations including lapse and shift as dynamical fields

Alvi, Kashif (2002) First-order symmetrizable hyperbolic formulations of Einstein's equations including lapse and shift as dynamical fields. Classical and Quantum Gravity, 19 (20). pp. 5153-5162. ISSN 0264-9381. http://resolver.caltech.edu/CaltechAUTHORS:ALVcqg02

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Abstract

First-order hyperbolic systems are promising as a basis for numerical integration of Einstein's equations. In previous work, the lapse and shift have typically not been considered part of the hyperbolic system and have been prescribed independently. This can be expensive computationally, especially if the prescription involves solving elliptic equations. Therefore, including the lapse and shift in the hyperbolic system could be advantageous for numerical work. In this paper, two first-order symmetrizable hyperbolic systems are presented that include the lapse and shift as dynamical fields and have only physical characteristic speeds.


Item Type:Article
Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 2002. Print publication: Issue 20 (21 October 2002); Received 26 April 2002, in final form 9 August 2002; Published 1 October 2002 I am grateful to Lee Lindblom and Mark Scheel for valuable discussions and for sharing their results before publication, and to Olivier Sarbach, Kip Thorne and Manuel Tiglio for useful comments on the manuscript. This research was supported in part by NSF grant PHY-9900776.
Record Number:CaltechAUTHORS:ALVcqg02
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ALVcqg02
Alternative URL:http://dx.doi.org/10.1088/0264-9381/19/20/309
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1327
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:10 Jan 2006
Last Modified:25 Feb 2014 23:12

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