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Bondi-type systems near space-like and null infinity

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Helmut Friedrich, Janos Kannar

General Relativity and Quantum Cosmology · Submitted 26 Nov 1999

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The authors' main claim We discuss how asymptotic quantities, originally introduced on null infinity in terms of Bondi-type gauge conditions, can be calculated near space-like infinity to any desired precision.

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arXiv IDgr-qc/9911103 (version 1)
Pith IDUU5X732U, Pith's permanent record of this paper and its review
CitationHelmut Friedrich, Janos Kannar. "Bondi-type systems near space-like and null infinity." arXiv:gr-qc/9911103 (1999). https://pith.science/paper/UU5X732U
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We discuss how asymptotic quantities, originally introduced on null infinity in terms of Bondi-type gauge conditions, can be calculated near space-like infinity to any desired precision.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We discuss how asymptotic quantities, originally introduced on null infinity in terms of Bondi-type gauge conditions, can be calculated near space-like infinity to any desired precision. contribution 0.99 0.76 0.68 asserted 0.85

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We discuss how asymptotic quantities, originally introduced on null infinity in terms of Bondi-type gauge conditions, can be calculated near space-like infinity to any desired precision.

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5 arXiv papers cite this in 5 sentences

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Cites it as background 3 papers
  • However, it can be “blown up” to yield a copy of dS$_3$ [ref] as we now review.[We refer the reader to [ref] for an alternate construction that is geometrically equivalent [ref] .]

    Interacting Fields at Spatial Infinity · The blowup of spatial infinity, $$ · 0.87

  • Two different representations of this blowup have been used in the literature — one is called the “hyperboloid at spatial infinity” introduced by Ashtekar and Romano [ref] whereas an equivalent representation [ref] , the “cylinder at spatial infinity”, was described by Freidrich [ref] .

    Squinting at massive fields from infinity · Geometric preliminaries · 0.84

  • Furthermore, in view of the decoupling mechanism, one might wonder whether these Ward identities would provide new insightful information on “hard processes”, or merely constraint “soft processes”, see [ref] . * In the same vein, one would like to repeat the complete analysis at null infinity and, in particular, write down the action of the logarithmic supertranslations there and study their matching with logarithmic supertranslations at spatial infinity along the lines of [ref] . * Finally we point out that our boundary conditions yield a Weyl tensor which contains no log-type singularity as one integrates the equations to null infinity [ref] , since the boundary conditions differ from those of [ref] or [ref] only by diffeomorphism terms to which the Weyl tensor is blind[In fact, the regularity and parity conditions on the Weyl tensor imply the boundary conditions given in this paper if

    Logarithmic supertranslations and supertranslation-invariant Lorentz charges · Conclusions · 0.81

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