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Initial Data for Numerical Relativity
Open accessAbstract
Initial data are the starting point for any numerical simulation. In the case of numerical relativity, Einstein's equations constrain our choices of these initial data. We will examine several of the formalisms used for specifying Cauchy initial data in the 3 + 1 decomposition of Einstein's equations. We will then explore how these formalisms have been used in constructing initial data for spacetimes containing black holes and neutron stars. In the topics discussed, emphasis is placed on those issues that are important for obtaining astrophysically realistic initial data for compact binary coalescence.
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Citations
Cites
Role of Conformal Three-Geometry in the Dynamics of Gravitation
York, J. W. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.1082 · Cited by 1,392
Cited by
Evolution of Binary Black-Hole Spacetimes
Pretorius, F. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.121101 · Cited by 1,504
Coalescence of Black Hole-Neutron Star Binaries
Shibata, M., & Taniguchi, K. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-6 · Cited by 440
Numerical relativity using a generalized harmonic decomposition
Pretorius, F. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/2/014 · Cited by 419
Liebling, S. L., & Palenzuela, C. (2017) · Living Reviews in Relativity · doi:10.1007/s41114-017-0007-y · Cited by 371
A 3+1 perspective on null hypersurfaces and isolated horizons
Gourgoulhon, E., & Jaramillo, J. L. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.005 · Cited by 260
Metadata
- Authors
- Cook, G. B.
- Venue
- Living Reviews in Relativity
- Published
- 2000-11-14
- Volume
- 3
- Issue
- 1
- Pages
- 5-5
- ISSN
- 1433-8351 (ISSN-L)
- 2367-3613
- OpenAlex
- W2089711430
- Cited by
- 246
- References
- 1
- FWCI
- 3.95
- Type
- journal article
- Language
- en
- Open access
- diamond
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