Light Cone Structure near Null Infinity of the Kerr Metric

Shan Bai; Xiaoning Wu; Xuefei Gong; Y.K.Lau; Yu Shang; Zhoujian Cao

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Light Cone Structure near Null Infinity of the Kerr Metric

Shan Bai, Zhoujian Cao, Xuefei Gong, Yu Shang, Xiaoning Wu, Y.K.Lau

General Relativity and Quantum Cosmology · Submitted 31 Jan 2007

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

The authors' main claim The Newman-Unti formalism is then further developed, with which the Newman-Penrose constants of the Kerr metric are computed and shown to be zero.

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arXiv IDgr-qc/0701171 (version 1)

Pith ID4RFXS2P6, Pith's permanent record of this paper and its review

CitationShan Bai, Xiaoning Wu, Xuefei Gong, Y.K.Lau, Yu Shang, Zhoujian Cao. "Light Cone Structure near Null Infinity of the Kerr Metric." arXiv:gr-qc/0701171 (2007). https://pith.science/paper/4RFXS2P6

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.35 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.72 · compares with prior results 0.11 · mentions code or data availability 0.01.

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Motivated by our attempt to understand the question of angular momentum of a relativistic rotating source carried away by gravitational waves, in the asymptotic regime near future null infinity of the Kerr metric, a family of null hypersurfaces intersecting null infinity in shearfree (good) cuts are constructed by means of asymptotic expansion of the eikonal equation. The geometry of the null hypersurfaces as well asthe asymptotic structure of the Kerr metric near null infinity are studied. To the lowest order in angular momentum, the Bondi-Sachs form of the Kerr metric is worked out. The Newman-Unti formalism is then further developed, with which the Newman-Penrose constants of the Kerr metric are computed and shown to be zero. Possible physical implications of the vanishing of the Newman-Penrose constants of the Kerr metric are also briefly discussed.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Motivated by our attempt to understand the question of angular momentum of a relativistic rotating source carried away by gravitational waves, in the asymptotic regime near future null infinity of the Kerr metric, a family of null hypersurfaces intersecting null infinity in shearfree (good) cuts are constructed by means of asymptotic expansion of the eikonal equation.	contribution 0.87	0.94	0.13	asserted 1.00
s1	The geometry of the null hypersurfaces as well asthe asymptotic structure of the Kerr metric near null infinity are studied.	contribution 0.99	0.88	0.05	asserted 0.93
s2	To the lowest order in angular momentum, the Bondi-Sachs form of the Kerr metric is worked out.	contribution 0.48	0.92	0.08	asserted 0.99
s3	The Newman-Unti formalism is then further developed, with which the Newman-Penrose constants of the Kerr metric are computed and shown to be zero.	result 0.81	0.92	0.29	asserted 1.00
s4	Possible physical implications of the vanishing of the Newman-Penrose constants of the Kerr metric are also briefly discussed.	interpretation 1.00	0.67	0.11	hedged possibility 0.64

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original abstract

Motivated by our attempt to understand the question of angular momentum of a relativistic rotating source carried away by gravitational waves, in the asymptotic regime near future null infinity of the Kerr metric, a family of null hypersurfaces intersecting null infinity in shearfree (good) cuts are constructed by means of asymptotic expansion of the eikonal equation. The geometry of the null hypersurfaces as well asthe asymptotic structure of the Kerr metric near null infinity are studied. To the lowest order in angular momentum, the Bondi-Sachs form of the Kerr metric is worked out. The Newman-Unti formalism is then further developed, with which the Newman-Penrose constants of the Kerr metric are computed and shown to be zero. Possible physical implications of the vanishing of the Newman-Penrose constants of the Kerr metric are also briefly discussed.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Shaving off soft hairs and the black hole image memory effect
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The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory
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Introduces a gauge transformation framework for BMS frames in multiscale black hole perturbation theory on Kerr that incorporates memory effects and avoids infrared divergences.
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4 arXiv papers cite this in 13 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 · 9 sentences without a confident label

Uses its method or tool 2 papers

We find it most convenient to follow Bai et al. [ref] , who derive a BS form of the Kerr metric by deriving a coordinate transformation from Boyer–Lindquist coordinates $(t,r,θ,ϕ)$ to BS coordinates $(,,θ̂,ϕ̂)$, such that the BS gauge conditions [ref] are satisfied.

The Bondi--Sachs gauge, BMS frames, and memory in black hole perturbation theory · Kerr spacetime in Bondi-Sachs coordinates and its associated BMS frame · 0.98
We will follow Ref. [ref] mainly.

Shaving off soft hairs and the black hole image memory effect · The bald Kerr black hole image · 0.99

Cites it as background 2 papers

The null hypersurfaces of the Kerr black hole were studied early in 1998 [ref] , followed by Ref. [ref] .

Null hypersurface caustics and super-entropic black holes · Introduction · 1.00
There were several works on the transformation of the Kerr metric to the BS coordinates [ref] .

Shaving off soft hairs and the black hole image memory effect · The bald Kerr black hole image · 0.95

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