Journal
LIVING REVIEWS IN RELATIVITY
Volume 19, Issue -, Pages -Publisher
SPRINGER INT PUBL AG
DOI: 10.1007/s41114-016-0001-9
Keywords
Gravitational wave extraction; Numerical relativity; Binary mergers; Black holes; Neutron stars
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Funding
- National Research Foundation, South Africa
- NewCompStar, COST Action [MP1304]
- LOEWE-Program in HIC for FAIR
- European Union's Horizon 2020 Research and Innovation Programme (call FETHPC-1) [671698]
- ERC Synergy Grant BlackHoleCam: Imaging the Event Horizon of Black Holes [610058]
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A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at null infinity and in an appropriate coordinate system, the accurate estimation of the emitted gravitational waves represents an old and non-trivial problem in numerical relativity. A number of methods have been developed over the years to extract the radiative part of the solution from a numerical simulation and these include: quadrupole formulas, gauge-invariant metric perturbations, Weyl scalars, and characteristic extraction. We review and discuss each method, in terms of both its theoretical background as well as its implementation. Finally, we provide a brief comparison of the various methods in terms of their inherent advantages and disadvantages.
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