The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Numerical integration of Einstein’s field equations
Open accessAbstract
Many numerical codes now under development to solve Einstein's equations of general relativity in $(3+1)$-dimensional spacetimes employ the standard ADM form of the field equations. This form involves evolution equations for the raw spatial metric and extrinsic curvature tensors. Following Shibata and Nakamura, we modify these equations by factoring out the conformal factor and introducing three ``connection functions.'' The evolution equations can then be reduced to wave equations for the conformal metric components, which are coupled to evolution equations for the connection functions. We evolve small amplitude gravitational waves and make a direct comparison of the numerical performance of the modified equations with the standard ADM equations. We find that the modified form exhibits much improved stability.
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Citations
Cites
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Matter effects on binary neutron star waveforms
Read, J. S., Baiotti, L., Creighton, J. D. E., Friedman, J. L., Giacomazzo, B., Kyutoku, K., Markakis, C., Rezzolla, L., Shibata, M., & Taniguchi, K. (2013) · Physical Review D · doi:10.1103/physrevd.88.044042 · Cited by 320
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Metadata
- Authors
- Baumgarte, T. W., & Shapiro, S. L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1998-12-07
- Volume
- 59
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2104853465
- Cited by
- 1,248
- References
- 13
- FWCI
- 11.54
- Type
- journal article
- Language
- en
- Open access
- green
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