Finding Principal Null Direction for Numerical Relativists

Details Finding Principal Null Direction for Numerical Relativists Finding Principal Null Direction for Numerical Relativists

1994-06-02

arxiv.org/abs/gr-qc/9406003v1

Class. Quantum Grav. 12 (1995) 133-140

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LaTeX style, WU-AP/38/93. Figures are available (hard copies) upon requests [shinkai@cfi.waseda.ac.jp (H.Shinkai)]

Scientific paper

10.1088/0264-9381/12/1/011

We present a new method for finding principal null directions (PNDs). Because our method assumes as input the intrinsic metric and extrinsic curvature of a spacelike hypersurface, it should be particularly 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 back-ground.

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