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Towards a Singularity-Proof Scheme in Numerical Relativity

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Edward Seidel, Wai-Mo Suen

General Relativity and Quantum Cosmology · Submitted 28 Oct 1992

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

The authors' main claim Encouraging results of the scheme in the spherical collapse case are given.

how it is stated · asserted 0.72 read the record →

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arXiv IDgr-qc/9210016 (version 1)
Pith IDYT74UY4G, Pith's permanent record of this paper and its review
CitationEdward Seidel, Wai-Mo Suen. "Towards a Singularity-Proof Scheme in Numerical Relativity." arXiv:gr-qc/9210016 (1992). https://pith.science/paper/YT74UY4G
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,526 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.39 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.12 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Progress in numerical relativity has been hindered for 30 years because of the difficulties of avoiding spacetime singularities in numerical evolution. We propose a scheme which excises a region inside an apparent horizon containing the singularity. Two major ingredients of the scheme are the use of a horizon-locking coordinate and a finite differencing which respects the causal structure of the spacetime. Encouraging results of the scheme in the spherical collapse case are given.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Progress in numerical relativity has been hindered for 30 years because of the difficulties of avoiding spacetime singularities in numerical evolution. background 0.95 0.05 0.03 asserted 1.00
s1 We propose a scheme which excises a region inside an apparent horizon containing the singularity. contribution 0.70 0.83 0.51 asserted 0.99
s2 Two major ingredients of the scheme are the use of a horizon-locking coordinate and a finite differencing which respects the causal structure of the spacetime. method 0.98 0.72 0.09 asserted 1.00
s3 Encouraging results of the scheme in the spherical collapse case are given. result 1.00 0.93 0.23 asserted 0.72

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Progress in numerical relativity has been hindered for 30 years because of the difficulties of avoiding spacetime singularities in numerical evolution. We propose a scheme which excises a region inside an apparent horizon containing the singularity. Two major ingredients of the scheme are the use of a horizon-locking coordinate and a finite differencing which respects the causal structure of the spacetime. Encouraging results of the scheme in the spherical collapse case are given.

Human review

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References
How the literature uses it

7 arXiv papers cite this in 7 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 · 1 sentence without a confident label

Uses its method or tool 4 papers
  • I will use black hole excision methods [ref] which have the advantage that code can be run indefinitely, even in the presence of a black hole, and thus can be used to determine the stable end state of a system.

    Stability and Critical Behavior of Gravitational Monopoles · Metric Equations · 1.00

  • We use Eddington-Finkelstein type of slices to describe the space-time, and therefore it is possible to choose $r_exc$ to lie inside the black hole's event horizon, a boundary called excision, see e.g. [ref] .

    Horizon growth of supermassive black hole seeds fed with collisional dark matter · Numerical Methods · 0.83

  • At $r=r_min$ we apply the excision method [ref] , which can be done since the surface $r=r_min$ is space-like, and in Eddington-Finkelstein type of coordinates the light cones all point toward the singularity and are open, then all the material arriving at such boundary will automatically get off the domain (or equivalently will fall toward the singularity) without the need of imposing boundary conditions there.

    PBH mass growth through radial accretion during the radiation dominated era · Evolution · 0.99

Cites it as background 2 papers

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