Conserved Quantities for Polyhomogeneous Space-Times

Details Conserved Quantities for Polyhomogeneous Space-Times Conserved Quantities for Polyhomogeneous Space-Times

1998-05-27

arxiv.org/abs/gr-qc/9805094v1

Class.Quant.Grav. 15 (1998) 2479-2491

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, LaTex, to be published in CQG

Scientific paper

10.1088/0264-9381/15/8/023

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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