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Gravitational waves in general relativity: XIV. Bondi expansions and the ``polyhomogeneity'' of \Scri

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Piotr T. Chrusciel, Malcolm A.H. MacCallum, David B. Singleton

General Relativity and Quantum Cosmology · Submitted 25 May 1993

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The occurrence of some log terms in an asymptotic expansion of the metric is related to the non--vanishing of the Weyl tensor at Scri.

how it is stated · asserted 0.99 read the record →

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arXiv IDgr-qc/9305021 (version 1)
Pith ID25VWEKGD, Pith's permanent record of this paper and its review
CitationDavid B. Singleton, Malcolm A.H. MacCallum, Piotr T. Chrusciel. "Gravitational waves in general relativity: XIV. Bondi expansions and the ``polyhomogeneity'' of \Scri." arXiv:gr-qc/9305021 (1993). https://pith.science/paper/25VWEKGD
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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.19 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; .

The structure of polyhomogeneous space-times (i.e., space-times with metrics which admit an expansion in terms of $r^{-j}\log^i r$) constructed by a Bondi--Sachs type method is analysed. The occurrence of some log terms in an asymptotic expansion of the metric is related to the non--vanishing of the Weyl tensor at Scri. Various quantities of interest, including the Bondi mass loss formula, the peeling--off of the Riemann tensor and the Newman--Penrose constants of motion are re-examined in this context.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 The structure of polyhomogeneous space-times (i.e., space-times with metrics which admit an expansion in terms of $r^{-j}\log^i r$) constructed by a Bondi--Sachs type method is analysed. contribution 0.99 0.76 0.14 asserted 0.88
s1 The occurrence of some log terms in an asymptotic expansion of the metric is related to the non--vanishing of the Weyl tensor at Scri. result 0.96 0.68 0.36 asserted 0.99
s2 Various quantities of interest, including the Bondi mass loss formula, the peeling--off of the Riemann tensor and the Newman--Penrose constants of motion are re-examined in this context. contribution 0.98 0.81 0.10 asserted 0.94

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Original abstract

The structure of polyhomogeneous space-times (i.e., space-times with metrics which admit an expansion in terms of $r^{-j}\log^i r$) constructed by a Bondi--Sachs type method is analysed. The occurrence of some log terms in an asymptotic expansion of the metric is related to the non--vanishing of the Weyl tensor at Scri. Various quantities of interest, including the Bondi mass loss formula, the peeling--off of the Riemann tensor and the Newman--Penrose constants of motion are re-examined in this context.

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References
How the literature uses it

41 arXiv papers cite this in 54 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 43 sentences without a confident label

Compares with it 3 papers
Cites it as support 1 paper
  • The advantage of working at spacelike infinity is that it requires less regularity assumptions on the class of spacetimes that are considered, since it does not assume the existence of a smooth null infinity [ref] .

    Superrotations at Spacelike Infinity · Introduction · 0.96

Cites it as background 7 papers
  • As a result, we shall not discuss the AdS origin, if any, of the logarithmic terms that one has to include in order to describe all relevant Ricci-flat metrics near null infinity [ref] .] In the rest of this introduction we shall summarise the details of this identification, while commenting on the subtleties it undiscloses.

    Flat from AdS: in any even dimension and for any spin · Introduction and summary · 0.84

  • Singularity and causal structure, past and future horizon, and global structure of RT solutions have been discussed in the literature, including [ref] .

    Heisenberg Soft Hair on Robinson-Trautman Spacetimes · Singularity, past and future horizons · 1.00

  • Under the usual asymptotic conditions on $ν_A^$ and $ν_0^$ one has (see, e.g., [ref] )

    The mass of light-cones · Introduction · 0.80

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