Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-05-06
Phys.Rev. D73 (2006) 024002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, 4 figures; We changed the convention used, corrected typos, and expanded the discussion
Scientific paper
10.1103/PhysRevD.73.024002
Beetle and Burko recently introduced a background--independent scalar curvature invariant for general relativity that carries information only about the gravitational radiation in generic spacetimes, in cases where such radiation is incontrovertibly defined. In this paper we adopt a formalism that only uses spatial data as they are used in numerical relativity and compute the Beetle--Burko radiation scalar for a number of analytical examples, specifically linearized Einstein--Rosen cylindrical waves, linearized quadrupole waves, the Kerr spacetime, Bowen--York initial data, and the Kasner spacetime. These examples illustrate how the Beetle--Burko radiation scalar can be used to examine the gravitational wave content of numerically generated spacetimes, and how it may provide a useful diagnostic for initial data sets.
Baumgarte Thomas W.
Beetle Christopher
Burko Lior M.
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