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A `3+1' method for finding principal null directions

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Published under licence by IOP Publishing Ltd
, , Citation Laurens Gunnarsen et al 1995 Class. Quantum Grav. 12 133 DOI 10.1088/0264-9381/12/1/011

0264-9381/12/1/133

Abstract

We present a new method for finding principal null directions (PNDs). Because our method assumes as an input the intrinsic metric and extrinsic curvature of a space-like hypersurface, we expect it will be useful to numerical relativists. We illustrate our method by finding the PNDs of the Kastor--Traschen spacetimes, which contain arbitrarily many Q=M black holes in a de Sitter background.

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10.1088/0264-9381/12/1/011