Spherically symmetric scalar field collapse in any dimension

E. Vaz; G. Kunstatter; M. Birukou; M. Olivier; V. Husain

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Spherically symmetric scalar field collapse in any dimension

M. Birukou, V. Husain, G. Kunstatter, E. Vaz, M. Olivier

General Relativity and Quantum Cosmology · Submitted 8 Jan 2002

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

The authors' main claim We present new results for d = 5 with zero and negative Lambda.

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arXiv IDgr-qc/0201026 (version 2)

Pith IDNNDD23S7, Pith's permanent record of this paper and its review

CitationE. Vaz, G. Kunstatter, M. Birukou, M. Olivier, V. Husain. "Spherically symmetric scalar field collapse in any dimension." arXiv:gr-qc/0201026 (2002). https://pith.science/paper/NNDD23S7

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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, 4,169 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.88 · mentions code or data availability 0.06.

The abstract, sentence by sentence

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

We describe a formalism and numerical approach for studying spherically symmetric scalar field collapse for arbitrary spacetime dimension d and cosmological constant Lambda. The presciption uses a double null formalism, and is based on field redefinitions first used to simplify the field equations in generic two-dimensional dilaton gravity. The formalism is used to construct code in which d and Lambda are input parameters. The code reproduces known results in d = 4 and d = 6 with Lambda = 0. We present new results for d = 5 with zero and negative Lambda.

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	We describe a formalism and numerical approach for studying spherically symmetric scalar field collapse for arbitrary spacetime dimension d and cosmological constant Lambda.	contribution 0.93	0.92	0.10	asserted 0.99
s1	The presciption uses a double null formalism, and is based on field redefinitions first used to simplify the field equations in generic two-dimensional dilaton gravity.	method 1.00	0.48	0.03	asserted 1.00
s2	The formalism is used to construct code in which d and Lambda are input parameters.	method 0.90	0.92	0.05	asserted 1.00
s3	The code reproduces known results in d = 4 and d = 6 with Lambda = 0.	result 0.74	0.89	0.08	asserted 1.00
s4	We present new results for d = 5 with zero and negative Lambda.	result 0.54	0.95	0.29	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.89 · evidence from simulation or computation 1.00.

What was examined, and what was not

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arXiv listing abstract v2

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

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S sections
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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

We describe a formalism and numerical approach for studying spherically symmetric scalar field collapse for arbitrary spacetime dimension d and cosmological constant Lambda. The presciption uses a double null formalism, and is based on field redefinitions first used to simplify the field equations in generic two-dimensional dilaton gravity. The formalism is used to construct code in which d and Lambda are input parameters. The code reproduces known results in d = 4 and d = 6 with Lambda = 0. We present new results for d = 5 with zero and negative Lambda.

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References

Forward citations

Cited by 2 Pith papers

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

Unveiling horizons in quantum critical collapse
gr-qc 2025-09 unverdicted novelty 7.0 of 10

Semiclassical quantum corrections in critical collapse yield a finite mass gap and transition from classical Type II to quantum Type I behavior, providing a quantum enforcement of weak cosmic censorship.
Critical phenomena in gravitational collapse
gr-qc 2007-11 accept novelty 3.0 of 10

Fine-tuning initial data to the black hole threshold produces universal, scale-invariant critical solutions whose perturbation spectra fix the power-law exponents for black hole mass, charge, and angular momentum.

How the literature uses it

6 arXiv papers cite this in 8 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 2 papers

[ref] have developed a code for arbitrary spacetime dimension.

Critical Phenomena in Gravitational Collapse · Scalar field collapse in higher dimensions · 0.89
Birukou et al [ref] have developed a code for arbitrary spacetime dimension.

Critical phenomena in gravitational collapse · Scalar field collapse in higher dimensions · 0.88

Cites it as support 2 papers

There is numerical evidence in asymptotically AdS space-times showing that this is the case [ref] .

Critical Collapse in the Axion-Dilaton System in Diverse Dimensions · Introduction · 1.00
Hence, we are no longer concerned about the asymptotic structure of the spacetime (this was supported by numerical evidence, as seen in [ref] ).

On Higher Dimensional Self-Similar Axion-Dilaton Solutions · Introduction · 1.00

Cites it as background 3 papers

More recently, a program was initiated [ref] whose purpose was to calculate the critical exponent and echoing period for spherical collapse in arbitrary spacetime dimensions using the so-called dilaton gravity formalism.

Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates · Introduction · 0.91
Since Choptuik's discovery, this framework has been generalized to a wide variety of matter models in spherical symmetry [ref] , revealing extremely rich phase structures depending on the number of dimensions and the type of matter content.

Unveiling horizons in quantum critical collapse · Introduction · 0.85
For example, critical solutions for a massless scalar field were obtained in [ref] , and an interesting work on Einstein-Maxwell-dilaton theories and critical collapse was recently done in [ref] .

On Higher Dimensional Self-Similar Axion-Dilaton Solutions · Introduction · 0.88

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