TY - JOUR
T1 - Numerical relativity and compact binaries
AU - Baumgarte, Thomas W.
AU - Shapiro, Stuart L.
N1 - Funding Information:
Over the years we have greatly benefitted from numerous discussions with many colleagues, including Andrew Abrahams, Greg Cook, Matt Duez, Mark Scheel, Masaru Shibata, Saul Teukolsky and Kip Thorne. We would like to thank the Visitors Program in the Numerical Simulation of Gravitational Wave Sources at Caltech for extending their hospitality while a portion of this review was being completed. This work was supported in part by NSF Grants PHY-0090310 and PHY-0205155 and NASA Grant NAG5-10781 at the University of Illinois at Urbana-Champaign and NSF Grant PHY-0139907 at Bowdoin College.
PY - 2003/3
Y1 - 2003/3
N2 - Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future detection by gravitational wave observatories. In this article we review numerical relativity approaches to modeling compact binaries. Starting with a brief introduction to the 3 + 1 decomposition of Einstein's equations, we discuss important components of numerical relativity, including the initial data problem, reformulations of Einstein's equations, coordinate conditions, and strategies for locating and handling black holes on numerical grids. We focus on those approaches which currently seem most relevant for the compact binary problem. We then outline how these methods are used to model binary neutron stars and black holes, and review the current status of inspiral and coalescence simulations.
AB - Numerical relativity is the most promising tool for theoretically modeling the inspiral and coalescence of neutron star and black hole binaries, which, in turn, are among the most promising sources of gravitational radiation for future detection by gravitational wave observatories. In this article we review numerical relativity approaches to modeling compact binaries. Starting with a brief introduction to the 3 + 1 decomposition of Einstein's equations, we discuss important components of numerical relativity, including the initial data problem, reformulations of Einstein's equations, coordinate conditions, and strategies for locating and handling black holes on numerical grids. We focus on those approaches which currently seem most relevant for the compact binary problem. We then outline how these methods are used to model binary neutron stars and black holes, and review the current status of inspiral and coalescence simulations.
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U2 - 10.1016/S0370-1573(02)00537-9
DO - 10.1016/S0370-1573(02)00537-9
M3 - Review article
AN - SCOPUS:0037370744
VL - 376
SP - 41
EP - 131
JO - Physics Reports
JF - Physics Reports
SN - 0370-1573
IS - 2
ER -