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On the Completeness of the Black Hole Singularity in 2d Dilaton Theories

General Relativity and Quantum Cosmology · Submitted 21 Feb 1996

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

The authors' main claim For large ranges of the parameters such theories are found to be free from this defect and exhibit global SBH behavior.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/9602040 (version 1)
Pith IDEV4JV75F, Pith's permanent record of this paper and its review
CitationESI), H. Liebl (Vienna, M.O. Katanaev (Vienna, Tech. U.), W. Kummer. "On the Completeness of the Black Hole Singularity in 2d Dilaton Theories." arXiv:gr-qc/9602040 (1996). https://pith.science/paper/EV4JV75F
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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, 3,145 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.23 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.30 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.91 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The black hole of the widely used ordinary 2d--dilaton model (DBH) deviates from the Schwarzschild black hole (SBH) of General Relativity in one important feature: Whereas non-null extremals or geodesics show the expected incompleteness this turns out {\it not to be the case for the null extremals}. After a simple analysis in Kruskal coordinates for singularities with power behavior of this -- apparently till now overlooked -- property we discuss the global structure of a large family of generalized dilaton theories which does not only contain the DBH and SBH but also other proposed dilaton theories as special cases. For large ranges of the parameters such theories are found to be free from this defect and exhibit global SBH behavior.

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 The black hole of the widely used ordinary 2d--dilaton model (DBH) deviates from the Schwarzschild black hole (SBH) of General Relativity in one important feature: Whereas non-null extremals or geodesics show the expected incompleteness this turns out {\it not to be the case for the null extremals}. result 0.53 0.45 0.36 asserted 1.00
s1 After a simple analysis in Kruskal coordinates for singularities with power behavior of this -- apparently till now overlooked -- property we discuss the global structure of a large family of generalized dilaton theories which does not only contain the DBH and SBH but also other proposed dilaton theories as special cases. contribution 0.84 0.86 0.10 asserted 0.95
s2 For large ranges of the parameters such theories are found to be free from this defect and exhibit global SBH behavior. result 1.00 0.93 0.65 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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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

The black hole of the widely used ordinary 2d--dilaton model (DBH) deviates from the Schwarzschild black hole (SBH) of General Relativity in one important feature: Whereas non-null extremals or geodesics show the expected incompleteness this turns out {\it not to be the case for the null extremals}. After a simple analysis in Kruskal coordinates for singularities with power behavior of this -- apparently till now overlooked -- property we discuss the global structure of a large family of generalized dilaton theories which does not only contain the DBH and SBH but also other proposed dilaton theories as special cases. For large ranges of the parameters such theories are found to be free from this defect and exhibit global SBH behavior.

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References
How the literature uses it

7 arXiv papers cite this in 10 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 · 6 sentences without a confident label

Cites it as background 4 papers
  • In general, there are two free parameters and sometimes this family is called the ab-family [ref] .

    Islands in Generalized Dilaton Theories · ab-family · 0.95

  • The classical solutions for dilaton gravities in the $(a,b)$-family and their properties were thoroughly studied in [ref] .

    2D holography beyond the Jackiw-Teitelboim model · Second-order formulation · 0.91

  • The Schwarzschild models, which belong to the so-called `$ab$-family' of dilaton gravities [ref] , are motivated by a spherically symmetric reduction of gravity with asymptotically flat boundary conditions from $d+1 ≥4$ dimensions down to two dimensions.

    Black holes in the conical ensemble · Schwarzschild · 0.87

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