Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-10-05
Phys.Rev.Lett. 89 (2002) 271101
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, 1 EPS figure
Scientific paper
10.1103/PhysRevLett.89.271101
This letter describes a scalar curvature invariant for general relativity with a certain, distinctive feature. While many such invariants exist, this one vanishes in regions of space-time which can be said unambiguously to contain no gravitational radiation. In more general regions which incontrovertibly support non-trivial radiation fields, it can be used to extract local, coordinate-independent information partially characterizing that radiation. While a clear, physical interpretation is possible only in such radiation zones, a simple algorithm can be given to extend the definition smoothly to generic regions of space-time.
Beetle Christopher
Burko Lior M.
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