Challenging the paradigm of singularity excision in gravitational collapse

Luca Baiotti; Luciano Rezzolla

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Challenging the paradigm of singularity excision in gravitational collapse

Luca Baiotti, Luciano Rezzolla

General Relativity and Quantum Cosmology · Submitted 26 Aug 2006

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

The authors' main claim We show that this choice, combined with suitable gauge conditions and the use of minute numerical dissipation, improves dramatically the long-term stability of the evolutions.

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arXiv IDgr-qc/0608113 (version 2)

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CitationLuca Baiotti, Luciano Rezzolla. "Challenging the paradigm of singularity excision in gravitational collapse." arXiv:gr-qc/0608113 (2006). https://pith.science/paper/RQNNEO7G

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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, 3,649 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.12 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.28 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.89 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

A paradigm deeply rooted in modern numerical relativity calculations prescribes the removal of those regions of the computational domain where a physical singularity may develop. We here challenge this paradigm by performing three-dimensional simulations of the collapse of uniformly rotating stars to black holes without excision. We show that this choice, combined with suitable gauge conditions and the use of minute numerical dissipation, improves dramatically the long-term stability of the evolutions. In turn, this allows for the calculation of the waveforms well beyond what previously possible, providing information on the black-hole ringing and setting a new mark on the present knowledge of the gravitational-wave emission from the stellar collapse to a rotating black hole.

background contribution method result interpretation main claim

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	A paradigm deeply rooted in modern numerical relativity calculations prescribes the removal of those regions of the computational domain where a physical singularity may develop.	background 1.00	0.04	0.03	asserted 0.98
s1	We here challenge this paradigm by performing three-dimensional simulations of the collapse of uniformly rotating stars to black holes without excision.	contribution 0.94	0.96	0.15	asserted 0.96
s2	We show that this choice, combined with suitable gauge conditions and the use of minute numerical dissipation, improves dramatically the long-term stability of the evolutions.	result 0.97	0.94	0.61	asserted 1.00
s3	In turn, this allows for the calculation of the waveforms well beyond what previously possible, providing information on the black-hole ringing and setting a new mark on the present knowledge of the gravitational-wave emission from the stellar collapse to a rotating black hole.	result 0.64	0.90	0.25	asserted 0.99

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

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

not run

S sections
T body sentences
C citations
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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

A paradigm deeply rooted in modern numerical relativity calculations prescribes the removal of those regions of the computational domain where a physical singularity may develop. We here challenge this paradigm by performing three-dimensional simulations of the collapse of uniformly rotating stars to black holes without excision. We show that this choice, combined with suitable gauge conditions and the use of minute numerical dissipation, improves dramatically the long-term stability of the evolutions. In turn, this allows for the calculation of the waveforms well beyond what previously possible, providing information on the black-hole ringing and setting a new mark on the present knowledge of the gravitational-wave emission from the stellar collapse to a rotating black hole.

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References

Forward citations

Cited by 5 Pith papers

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

High-Order Fully General-Relativistic Hydrodynamics: new Approaches and Tests
gr-qc 2013-12 conditional novelty 6.0 of 10

A high-order general-relativistic hydrodynamics code reaches about 2.8-order convergence in binary neutron star waveforms and an estimated 50-fold smaller phase error than a standard second-order code at the same resolution.
On the Exact Solutions of the Regge-Wheeler Equation in the Schwarzschild Black Hole Interior
gr-qc 2006-03 conditional novelty 6.0 of 10

The paper gives Heun-function solutions for the Regge-Wheeler equation in the Schwarzschild interior and describes a discrete eigenvalue spectrum that shows attraction and repulsion when the horizon mixing angle changes.
A comprehensive simulation framework for multi-modal kilonova observations from all-sky surveys
astro-ph.IM 2026-10 conditional novelty 5.0 of 10

A multimodal kilonova simulation pipeline produces survey-realistic light curves, spectra, and image pairs intended for training AI classifiers and parameter estimators.
Numerical relativity simulations of binary neutron stars
gr-qc 2011-04 accept novelty 5.0 of 10

The upgraded BAM code produces convergent binary neutron star inspiral waveforms, and Richardson extrapolation across three to four resolutions yields quantified phase and amplitude error bars, though the estimates de...
Phase transitions in neutron stars and their links to gravitational waves
astro-ph.HE 2019-07 unverdicted novelty 2.0 of 10

Review of neutron star dense matter, hadron-quark phase transitions, and potential g-mode signatures in gravitational waves from multimessenger observations.

How the literature uses it

7 arXiv papers cite this in 15 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 · 11 sentences without a confident label

Uses its method or tool 1 paper

This method is implicitly used in non-vacuum numerical relativity moving puncture evolutions [ref] and has been explicitly used for MHD by Etienne et al [ref] .

Evolution of the Magnetized, Neutrino-Cooled Accretion Disk in the Aftermath of a Black Hole Neutron Star Binary Merger · Numerical Methods · 0.86

Compares with it 1 paper

This dephasing observed in the top row of Fig. [ref] is reminiscent of the behaviour observed in [ref] , where a comparison between two evolution codes of different convergence order, [ref] and , has been made.

Initial-data contribution to the error budget of gravitational waves from neutron-star binaries · Impact on the evolutions of different initial-data solvers · 0.98

Cites it as support 1 paper

Numerical experiments showed that puncture simulations can handle stellar collapse to a black hole [ref] and spherical accretion into a black hole [ref] with no code changes except a small extra dissipation in the metric evolution (in [ref] ) and a means of resetting fluid variables near the puncture where conservative to primitive variable recovery fails (in [ref] ).

Numerical Relativity of Compact Binaries in the 21st Century · Excision and punctures in the presence of matter · 0.98

Cites it as background 1 paper

The dynamics of a collapsing unstable star in general relativity has been discussed in great detail in a number of papers and we refer the interested reader to Refs. [ref] for some of the most recent work.

The trumpet solution from spherical gravitational collapse with puncture gauges · Results · 1.00

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