Black Holes and Causal Structure in Anti-de Sitter Isometric Spacetimes

Peter Peldan; Soren Holst

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Black Holes and Causal Structure in Anti-de Sitter Isometric Spacetimes

Soren Holst, Peter Peldan

General Relativity and Quantum Cosmology · Submitted 26 May 1997

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

The authors' main claim Among other things we find that there does not exist any 3+1 generalization of the rotating BTZ hole.

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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, 4,198 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.72 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.49 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The observation that the 2+1 dimensional BTZ black hole can be obtained as a quotient space of anti-de Sitter space leads one to ask what causal behaviour other such quotient spaces can display. In this paper we answer this question in 2+1 and 3+1 dimensions when the identification group has one generator. Among other things we find that there does not exist any 3+1 generalization of the rotating BTZ hole. However, the non-rotating generalization exists and exhibits some unexpected properties. For example, it turns out to be non-static and to possess a non-trivial apparent horizon.

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 observation that the 2+1 dimensional BTZ black hole can be obtained as a quotient space of anti-de Sitter space leads one to ask what causal behaviour other such quotient spaces can display.	background 0.94	0.05	0.04	asserted 0.80
s1	In this paper we answer this question in 2+1 and 3+1 dimensions when the identification group has one generator.	contribution 0.98	0.85	0.09	asserted 0.99
s2	Among other things we find that there does not exist any 3+1 generalization of the rotating BTZ hole.	result 1.00	0.94	0.38	asserted 1.00
s3	However, the non-rotating generalization exists and exhibits some unexpected properties.	result 1.00	0.88	0.15	asserted 0.99
s4	For example, it turns out to be non-static and to possess a non-trivial apparent horizon.	result 1.00	0.92	0.07	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

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arXiv listing abstract v1

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

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P abstract

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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 observation that the 2+1 dimensional BTZ black hole can be obtained as a quotient space of anti-de Sitter space leads one to ask what causal behaviour other such quotient spaces can display. In this paper we answer this question in 2+1 and 3+1 dimensions when the identification group has one generator. Among other things we find that there does not exist any 3+1 generalization of the rotating BTZ hole. However, the non-rotating generalization exists and exhibits some unexpected properties. For example, it turns out to be non-static and to possess a non-trivial apparent horizon.

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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

Rotating Topological Black Holes
gr-qc 1997-10 conditional novelty 6.0 of 10

Explicit rotating anti-de Sitter black hole metrics with toroidal and higher-genus horizons are constructed by analytic continuation of Kerr-de Sitter and by a Plebanski-Demianski limit.
Black Holes and Wormholes in 2+1 Dimensions
gr-qc 1997-07 conditional novelty 6.0 of 10

Quotienting anti-de Sitter space by discrete isometries yields 2+1 dimensional black holes with wormhole interiors, one asymptotic region, and event horizons born at a finite time.

How the literature uses it

6 arXiv papers cite this in 9 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 · 7 sentences without a confident label

Cites it as support 1 paper

Indeed, it has been proved that there is no globally timelike Killing vector in this geometry [ref] .

Hawking temperature for constant curvature black bole and its analogue in de Sitter space · Introduction · 0.99

Cites it as background 1 paper

The causal structure has been discussed in [ref] [ref] [ref] .

Self-Supporting Wormholes in Four Dimensions with Scalar Field · BTZ black hole in 3+1 dimensions · 0.99

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