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Conserved Quantities for Polyhomogeneous Space-Times

J. A. Valiente Kroon
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Abstract

The existence of conserved quantities with a structure similar to the Newman-Penrose quantities in a polyhomogeneous space-time is addressed. The most general form for the initial data formally consistent with the polyhomogeneous setting is found. The subsequent study is done for those polyhomogeneous space-times where the leading term of the shear contains no logarithmic terms. It is found that for these space-times the original NP quantities cease to be constants, but it is still possible to construct a set of other 10 quantities that are constant. From these quantities it is possible to obtain as a particular case a conserved quantity found by Chrusciel et al.

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J. A. Valiente Kroon. 1998-05-27. Conserved Quantities for Polyhomogeneous Space-Times. https://doi.org/10.1088/0264-9381%2F15%2F8%2F023

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