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  Conformal and covariant formulation of the Z4 system with constraint-violation damping

Alic, D., Bona-Casas, C., Bona, C., Rezzolla, L., & Palenzuela, C. (2012). Conformal and covariant formulation of the Z4 system with constraint-violation damping. Physical Review D, 85(6): 064040. doi:10.1103/PhysRevD.85.064040.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-A8A7-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-A8A8-C
Genre: Journal Article

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1106.2254 (Preprint), 414KB
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Alic, Daniela1, Author              
Bona-Casas, Carles, Author
Bona, Carles, Author
Rezzolla, Luciano1, Author              
Palenzuela, Carlos1, Author              
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We present a new formulation of the Einstein equations based on a conformal and traceless decomposition of the covariant form of the Z4 system. This formulation combines the advantages of a conformal decomposition, such as the one used in the BSSNOK formulation (i.e. well-tested hyperbolic gauges, no need for excision, robustness to imperfect boundary conditions) with the advantages of a constraint-damped formulation, such as the generalized harmonic one (i.e. exponential decay of constraint violations when these are produced). We validate the new set of equations through standard tests and by evolving binary black hole systems. Overall, the new conformal formulation leads to a better behavior of the constraint equations and a rapid suppression of the violations when they occur. The changes necessary to implement the new conformal formulation in standard BSSNOK codes are very small as are the additional computational costs.

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 Dates: 2011-06-112012-03-252012
 Publication Status: Published in print
 Pages: 12 pages, 7 figures. Version matching the one in press on PRD
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1106.2254
DOI: 10.1103/PhysRevD.85.064040
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 85 (6) Sequence Number: 064040 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258