On the definition of cylindrical symmetry

J. Carot; J. M. M. Senovilla; R. Vera

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On the definition of cylindrical symmetry

J. Carot, J. M. M. Senovilla, R. Vera

General Relativity and Quantum Cosmology · Submitted 18 May 1999

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

The authors' main claim Taking the view that axial symmetry is an essential pre-requisite for cylindrical symmetry, it is argued that the requirement of orthogonal transitivity of the isometry group should be dropped, this leading to a new, more general definition of cylindrical symmetry.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.42 · mentions code or data availability 0.01.

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

The standard definition of cylindrical symmetry in General Relativity is reviewed. Taking the view that axial symmetry is an essential pre-requisite for cylindrical symmetry, it is argued that the requirement of orthogonal transitivity of the isometry group should be dropped, this leading to a new, more general definition of cylindrical symmetry. Stationarity and staticity in cylindrically symmetric spacetimes are then defined, and these issues are analysed in connection with orthogonal transitivity, thus proving some new results on the structure of the isometry group for this class of spacetimes.

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	The standard definition of cylindrical symmetry in General Relativity is reviewed.	background 0.98	0.39	0.03	asserted 0.85
s1	Taking the view that axial symmetry is an essential pre-requisite for cylindrical symmetry, it is argued that the requirement of orthogonal transitivity of the isometry group should be dropped, this leading to a new, more general definition of cylindrical symmetry.	contribution 0.99	0.84	0.76	asserted 0.89
s2	Stationarity and staticity in cylindrically symmetric spacetimes are then defined, and these issues are analysed in connection with orthogonal transitivity, thus proving some new results on the structure of the isometry group for this class of spacetimes.	contribution 0.68	0.91	0.20	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.78 · evidence from proof or derivation 0.76.

What was examined, and what was not

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arXiv listing abstract v1

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full text
figures and tables
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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

The standard definition of cylindrical symmetry in General Relativity is reviewed. Taking the view that axial symmetry is an essential pre-requisite for cylindrical symmetry, it is argued that the requirement of orthogonal transitivity of the isometry group should be dropped, this leading to a new, more general definition of cylindrical symmetry. Stationarity and staticity in cylindrically symmetric spacetimes are then defined, and these issues are analysed in connection with orthogonal transitivity, thus proving some new results on the structure of the isometry group for this class of spacetimes.

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3 arXiv papers cite this in 3 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

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Builds on it 1 paper

Although we start focusing on spherically symmetric spacetimes, we subsequently generalize our methods to cases of spaces with hyperbolic or planar codimension-2 foliations [ref] .

New insights on null and timelike warped symmetric spacetime splittings · Introduction · 0.90

Cites it as background 1 paper

See [ref] for comprehensive discussion of such metrics.

Marginally stable circular orbits in stationary axisymmetric spacetimes · Cylindrically symmetric spacetimes · 1.00

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