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Three-Dimensional Hydrodynamic Simulations of Accretion Tori in Kerr Spacetimes
Astrophysics · Submitted 9 Apr 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Though most of the conclusions reached in Hawley's earlier work on Schwarzschild black holes carry over to Kerr spacetime, the presence of frame dragging in the Kerr geometry adds an element of complexity to the simulations; we have seen especially clear examples of this phenomenon in the accretion flows that arise from retrograde tori.
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This paper presents results of three-dimensional simulations of global hydrodynamic instabilities in black hole tori, extending earlier work by Hawley to Kerr spacetimes. This study probes a three-dimensional parameter space of torus angular momentum, torus size, and black hole angular momentum. We have observed the growth of the Papaloizou-Pringle instability for a range of torus configurations and the resultant formation of m=1 planets. We have also observed the quenching of this instability in the presence of early accretion flows; however, in one simulation both early accretion and planet formation occurred. Though most of the conclusions reached in Hawley's earlier work on Schwarzschild black holes carry over to Kerr spacetime, the presence of frame dragging in the Kerr geometry adds an element of complexity to the simulations; we have seen especially clear examples of this phenomenon in the accretion flows that arise from retrograde tori.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This paper presents results of three-dimensional simulations of global hydrodynamic instabilities in black hole tori, extending earlier work by Hawley to Kerr spacetimes. | contribution 1.00 | 0.85 | 0.10 | asserted 0.99 |
| s1 | This study probes a three-dimensional parameter space of torus angular momentum, torus size, and black hole angular momentum. | contribution 0.80 | 0.85 | 0.04 | asserted 0.97 |
| s2 | We have observed the growth of the Papaloizou-Pringle instability for a range of torus configurations and the resultant formation of m=1 planets. | result 1.00 | 0.94 | 0.22 | asserted 1.00 |
| s3 | We have also observed the quenching of this instability in the presence of early accretion flows; however, in one simulation both early accretion and planet formation occurred. | result 1.00 | 0.95 | 0.14 | asserted 1.00 |
| s4 | Though most of the conclusions reached in Hawley's earlier work on Schwarzschild black holes carry over to Kerr spacetime, the presence of frame dragging in the Kerr geometry adds an element of complexity to the simulations; we have seen especially clear examples of this phenomenon in the accretion flows that arise from retrograde tori. | interpretation 0.62 | 0.86 | 0.21 | asserted 0.99 |
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Original abstract
This paper presents results of three-dimensional simulations of global hydrodynamic instabilities in black hole tori, extending earlier work by Hawley to Kerr spacetimes. This study probes a three-dimensional parameter space of torus angular momentum, torus size, and black hole angular momentum. We have observed the growth of the Papaloizou-Pringle instability for a range of torus configurations and the resultant formation of m=1 planets. We have also observed the quenching of this instability in the presence of early accretion flows; however, in one simulation both early accretion and planet formation occurred. Though most of the conclusions reached in Hawley's earlier work on Schwarzschild black holes carry over to Kerr spacetime, the presence of frame dragging in the Kerr geometry adds an element of complexity to the simulations; we have seen especially clear examples of this phenomenon in the accretion flows that arise from retrograde tori.
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How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 3 papers
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After these works, the research was mainly devoted to the study of accretion from thick disks and tori, and to the study of the tori instabilities [ref] .
Violation of the Carter-Israel conjecture and its astrophysical implications · Numerical study of the accretion process · 0.97
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After these works, the research on the accretion process in Kerr space-time was devoted largely to the study of black hole tori and of the associated instabilities [ref] .
Thick disk accretion in Kerr space-time with arbitrary spin parameters · Introduction · 1.00
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The body of literature in accretion astrophysics is huge and diverse, and hence there are several excellent works that exist in literature where complete time-dependent numerical simulation has been performed to study non-steady flow of hydrodynamic fluid including various kind of time variabilities ( [ref] ).
Linear perturbations of low angular momentum accretion flow in the Kerr metric and the corresponding emergent gravity phenomena · Concluding remarks · 0.93
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