1998/05/27 by Juan A. Valiente Kroon, J. A. Valiente Kroon · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1088/0264-9381/15/8/023
published as Class.Quant.Grav. 15 (1998) 2479-2491 · 21 pages, LaTex, to be published in CQG
arxiv created 1998/05/27 · openalex publication_date 1998/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The existence of conserved quantities with a structure similar to the Newman-Penrose quantities in a polyhomogeneous spacetime is considered. The most general form for the initial data formally consistent with the polyhomogeneous setting is found. The subsequent study is done for those polyhomogeneous spacetimes where the leading term of the shear contains no logarithmic terms. It is found that for these spacetimes the original NP quantities cease to be constants, but it is still possible to construct a set of ten other quantities that are constant. From these quantities it is possible to obtain, as a particular case, the conserved quantity found by Chrusciel et al.