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Scalar gravitation: A laboratory for numerical relativity. III. Axisymmetry

Scheel, Mark A. and Shapiro, Stuart L. and Teukolsky, Saul A. (1994) Scalar gravitation: A laboratory for numerical relativity. III. Axisymmetry. Physical Review D, 49 (4). pp. 1894-1905. ISSN 2470-0010.

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We construct a two-dimensional axisymmetric mean-field particle simulation scheme that solves the equations of relativistic scalar gravitation coupled to collisionless matter. Although scalar gravitation theory disagrees with experiment, it is useful as a testing ground for numerical methods used to solve the equations of general relativity, particularly in the generation of gravitational waves. We discuss methods for extracting the gravitational wave amplitude from the field variables, as well as methods for imposing an accurate outgoing-wave boundary condition on the scalar field at a finite radius. We find that for continuous matter distributions, our code is able to calculate smooth and accurate gravitational wave forms, despite the stochastic representation of the matter source terms caused by sampling with a finite number of particles. A similar scheme should provide accurate wave forms in general relativity, provided sufficient computer resources are used.

Item Type:Article
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Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 1994 American Physical Society. (Received 15 September 1993) We thank A. Abrahams for useful discussions. This research was supported in part by NSF Grants Nos. AST 91-19475 and PHY 90-07834 and NASA Grant No. NAGW-2364 at Cornell University. Computations were performed at the Cornell Center for Theory and Simulation in Science and Engineering, which is supported in part by the National Science Foundation, IBM Corporation, New York State, and the Cornell Research Institute.
Funding AgencyGrant Number
NSFAST 91-19475
NSFPHY 90-07834
State of New YorkUNSPECIFIED
Cornell Research InstituteUNSPECIFIED
Issue or Number:4
Classification Code:PACS number(s): 04.25.Dm, 02.70.Bf, 03.50.Kk, 04.30.Db
Record Number:CaltechAUTHORS:20180629-155106904
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87498
Deposited By: George Porter
Deposited On:02 Jul 2018 16:33
Last Modified:22 Nov 2019 09:58

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