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Testing a simplified version of Einstein’s equations for numerical relativity

Cook, Gregory B. and Shapiro, Stuart L. and Teukolsky, Saul A. (1996) Testing a simplified version of Einstein’s equations for numerical relativity. Physical Review D, 53 (10). pp. 5533-5540. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:20180713-164230222

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Abstract

Solving dynamical problems in general relativity requires the full machinery of numerical relativity. Wilson has proposed a simpler but approximate scheme for systems near equilibrium, such as binary neutron stars. We test the scheme on isolated, rapidly rotating, relativistic stars. Since these objects are in equilibrium, it is crucial that the approximation works well if we are to believe its predictions for more complicated systems such as binaries. Our results are very encouraging.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.53.5533DOIArticle
http://arxiv.org/abs/gr-qc/9512009arXivDiscussion Paper
Additional Information:© 1996 American Physical Society. (Received 5 December 1995) We thank E. Gourgoulhon for useful discussions about the work on relativistic virial quantities in Refs. [11,12]. This work was supported in part by NSF Grant Nos. AST 91- 19475 and PHY 94-08378, and by NASA Grant No. NAGW-2364 to Cornell University. We also acknowledge support from the Grand Challenge Grant No. NSF PHY 93-18152/ASC 93-18152.
Funders:
Funding AgencyGrant Number
NSFAST 91-19475
NSFPHY 94-08378
NASANAGW-2364
NSFPHY 93-18152
NSFASC 93-18152
Classification Code:PACS numbers: 04.25.Dm, 04.40.Dg
Record Number:10.1103/PhysRevD.53.5533
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180713-164230222
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87862
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:16 Jul 2018 23:08
Last Modified:16 Jul 2018 23:08

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