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Chaos around the superposition of a black-hole and a thin disk

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Alberto Saa, Roberto Venegeroles

General Relativity and Quantum Cosmology · Submitted 7 Jun 1999

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

The authors' main claim Exhaustive numerical analyses were performed, and bounded zones of chaotic behavior were found for both limits.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/9906028 (version 1)
Pith IDHRTH7H3L, Pith's permanent record of this paper and its review
CitationAlberto Saa, Roberto Venegeroles. "Chaos around the superposition of a black-hole and a thin disk." arXiv:gr-qc/9906028 (1999). https://pith.science/paper/HRTH7H3L
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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, 3,581 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.10 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Motivated by the strong astronomical evidences supporting that huge black-holes might inhabit the center of many active galaxies, we have studied the integrability of oblique orbits of test particles around the exact superposition of a black-hole and a thin disk. We have considered the relativistic and the Newtonian limits. Exhaustive numerical analyses were performed, and bounded zones of chaotic behavior were found for both limits. An intrinsic relativistic gravitational effect is detected: the chaoticity of trajectories that do not cross the disk.

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 Motivated by the strong astronomical evidences supporting that huge black-holes might inhabit the center of many active galaxies, we have studied the integrability of oblique orbits of test particles around the exact superposition of a black-hole and a thin disk. contribution 0.82 0.85 0.05 asserted 0.34
s1 We have considered the relativistic and the Newtonian limits. method 0.90 0.86 0.02 asserted 0.82
s2 Exhaustive numerical analyses were performed, and bounded zones of chaotic behavior were found for both limits. result 0.95 0.97 0.47 asserted 1.00
s3 An intrinsic relativistic gravitational effect is detected: the chaoticity of trajectories that do not cross the disk. result 0.86 0.90 0.50 asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.99 · evidence from simulation or computation 1.00.

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  • references and citing sentences
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  • 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

Motivated by the strong astronomical evidences supporting that huge black-holes might inhabit the center of many active galaxies, we have studied the integrability of oblique orbits of test particles around the exact superposition of a black-hole and a thin disk. We have considered the relativistic and the Newtonian limits. Exhaustive numerical analyses were performed, and bounded zones of chaotic behavior were found for both limits. An intrinsic relativistic gravitational effect is detected: the chaoticity of trajectories that do not cross the disk.

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References
How the literature uses it

4 arXiv papers cite this in 5 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 · 2 sentences without a confident label

Cites it as background 2 papers
  • Chaos was found, for instance, in “black hole + gravitational wave” spacetimes [ref] , spacetimes representing the exterior field of quadrupole-deformed [ref] and other nonspherical [ref] central bodies, and in axisymmetric gravitating disk systems with or without a central black hole [ref] .

    Chaotic dynamics of pulsating spheres orbiting black holes · Introduction · 0.93

  • Chaos in general relativity occurs in many different astrophysical scenarios, both in exact solutions [ref] and in Post-Newtonian expansions [ref] .

    Relativistic chaos in the anisotropic harmonic oscillator · Discussion · 0.80

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