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  Towards a Stabel Numerical Evolution of Strongly Gravitating Systems in General Relativity :The Conformal Treatments

Alcubierre, M., Brügmann, B., Dramlitsch, T., Font, J. A., Papadopoulos, P., Seidel, E., et al. (2000). Towards a Stabel Numerical Evolution of Strongly Gravitating Systems in General Relativity:The Conformal Treatments. Physical Review D, 62, 044034.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-57C1-2 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-57C2-F
Genre: Journal Article

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Alcubierre, Miguel1, 2, Author
Brügmann, Bernd1, 2, Author
Dramlitsch, Thomas1, 2, Author
Font, Jose A., Author
Papadopoulos, Philippos, Author
Seidel, Edward1, 2, Author
Stergioulas, Nikolaos1, 2, Author
Takahashi, Ryoji1, 2, Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              
2Cactus Group, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67202              

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 Abstract: We study the stability of three-dimensional numerical evolutions of the Einstein equations, comparing the standard ADM formulation to variations on a family of formulations that separate out the conformal and traceless parts of the system. We develop an implementation of the conformal-traceless (CT) approach that has improved stability properties in evolving weak and strong gravitational fields, and for both vacuum and spacetimes with active coupling to matter sources. Cases studied include weak and strong gravitational wave packets, black holes, boson stars and neutron stars. We show under what conditions the CT approach gives better results in 3D numerical evolutions compared to the ADM formulation. In particular, we show that our implementation of the CT approach gives more long term stable evolutions than ADM in all the cases studied, but is less accurate in the short term for the range of resolutions used in our 3D simulations. Š2000 The American Physical Society

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Language(s): eng - English
 Dates: 2000
 Publication Status: Issued
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 Identifiers: eDoc: 2796
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 62 Sequence Number: - Start / End Page: 044034 Identifier: -