AI Article Synopsis
- A numerical-relativity calculation provides solutions to the Einstein equations, including the radiative aspects of gravitational waves, which are crucial but complex to estimate accurately.
- Gravitational radiation is ideally defined at null infinity and requires specific coordinate systems, making the extraction of these waves challenging in simulations.
- Various methods, like quadrupole formulas and Weyl scalars, have been developed to extract the radiative part from simulations, and the text reviews these methods, discussing their theoretical foundations, implementations, and comparing their strengths and weaknesses.
Article Abstract
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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|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5297365 | PMC |
| http://dx.doi.org/10.1007/s41114-016-0001-9 | DOI Listing |
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