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

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons2709

Alic,  Daniela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons20670

Rezzolla,  Luciano
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons4301

Palenzuela,  Carlos
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1106.2254
(Preprint), 414KB

PRD85_064040.pdf
(Any fulltext), 589KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-A8A7-E
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.