The DOI matches its Crossref record; 38 of the 38 references it cites were found in a registry or an index.
Numerical relativity using a generalized harmonic decomposition
Open accessAbstract
A new numerical scheme to solve the Einstein field equations based upon the generalized harmonic decomposition of the Ricci tensor is introduced. The source functions driving the wave equations that define generalized harmonic coordinates are treated as independent functions, and encode the coordinate freedom of solutions. Techniques are discussed to impose particular gauge conditions through a specification of the source functions. A 3D, free evolution, finite difference code implementing this system of equations with a scalar field matter source is described. The second-order-in-space-and-time partial differential equations are discretized directly without the use of first-order auxiliary terms, limiting the number of independent functions to 15—ten metric quantities, four source functions and the scalar field. This also limits the number of constraint equations, which can only be enforced to within truncation error in a numerical free evolution, to four. The coordinate system is compactified to spatial infinity in order to impose physically motivated, constraint-preserving outer boundary conditions. A variant of the cartoon method for efficiently simulating axisymmetric spacetimes with a Cartesian code is described that does not use interpolation, and is easier to incorporate into existing adaptive mesh refinement packages. Preliminary test simulations of vacuum black-hole evolution and black-hole formation via scalar field collapse are described, suggesting that this method may be useful for studying many spacetimes of interest.
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Cites
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A fast apparent horizon finder for three-dimensional Cartesian grids in numerical relativity
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Cited by
Evolution of Binary Black-Hole Spacetimes
Pretorius, F. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.121101 · Cited by 1,504
Self-citationBlack holes, gravitational waves and fundamental physics: a roadmap
Askar, A., Belczynski, C., Bertone, G., Bon, E., Blas, D., Brito, R., Bulik, T., Burrage, C., Byrnes, C. T., Caprini, C., et al. (2019) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab0587 · Cited by 744
The SXS collaboration catalog of binary black hole simulations
Boyle, M., Hemberger, D., Iozzo, D. A. B., Lovelace, G., Ossokine, S., Pfeiffer, H. P., Scheel, M. A., Stein, L. C., Woodford, C. J., Zimmerman, A. B., et al. (2019) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab34e2 · Cited by 454
Catalog of 174 Binary Black Hole Simulations for Gravitational Wave Astronomy
Mroué, A. H., Scheel, M. A., Szilágyi, B., Pfeiffer, H. P., Boyle, M., Hemberger, D. A., Kidder, L. E., Lovelace, G., Ossokine, S., Taylor, N. W., et al. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.241104 · Cited by 421
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Metadata
- Authors
- Pretorius, F.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2005-01-05
- Volume
- 22
- Issue
- 2
- Pages
- 425-451
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2091472088
- Cited by
- 419
- References
- 38
- FWCI
- 17.96
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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