Symbol/Acronym |
Definition |
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Future null infinity, Complex future null infinity |
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Future, Past timelike infinity, Spacelike infinity |
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Minkowski space, Complex Minkowski space |
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Bondi time coordinate, Retarded Bondi time
( |
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Derivation with respect to |
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Derivation with respect to |
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Affine parameter along null geodesics |
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Tensorial spin- |
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Metric function on |
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Application of |
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Null tetrad system; |
NGC |
Null Geodesic Congruence |
NP/SC |
Newman–Penrose/Spin-Coefficient Formalism |
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Metric coefficients in the Newman–Penrose formalism |
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Weyl tensor components in the Newman–Penrose formalism |
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Maxwell tensor components in the Newman–Penrose formalism |
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Complex divergence of a null geodesic congruence |
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Twist of a null geodesic congruence |
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Complex shear, Asymptotic complex shear of a NGC |
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|
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Complex auxiliary (CR) potential function |
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Derivation with respect to |
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Good-Cut Equation, describing asymptotically shear-free NGCs |
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Good-Cut Function (GCF) on |
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Stereographic angle field for an asymptotically
shear-free NGC at |
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CR equation, describing the embedding of |
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Complex four-dimensional solution space to the Good-Cut Equation |
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Complex electromagnetic dipole |
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Complex center-of-charge world line, lives in
|
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Complex electromagnetic quadrupole |
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Complex center of mass world line, lives in |
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Complex gravitational dipole |
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Complex gravitational quadrupole |
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Universal Cut Function (UCF) corresponding to the complex center of mass world line |
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Identification between |
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Bondi Mass Aspect |
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Bondi mass |
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Bondi linear three-momentum |
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Vacuum linear theory identification of angular momentum |
In much of what follows, we use simplified units where . However, in Section 6 we will revert to a
notation which makes dependence upon numerical constants explicit for the sake of comparing our results
with well-known quantities in classical mechanics and electromagnetism. We therefore include the following
reference table for the units of several prominent objects in our calculations to ease in verifying that correct
powers of dimensional constants (e.g.,
,
) appear in our final results. Here
stands for the units of
a given quantity, and
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http://www.livingreviews.org/lrr-2012-1 |
Living Rev. Relativity 15, (2012), 1
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