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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.
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The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
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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
Papers citing it · 6 sentences without a confident label
Cites it as background 4 papers
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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
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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
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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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