Relating black holes in two and three dimensions
Open accessAbstract
The three-dimensional black hole solutions of Ba\~nados, Teitelboim, and Zanelli (BTZ) are dimensionally reduced in various different ways. Solutions are obtained to the Jackiw-Teitelboim theory of two-dimensional gravity for spinless BTZ black holes, and to a simple extension with a nonzero dilaton potential for black holes of fixed spin. Similar reductions are given for charged black holes. The resulting two-dimensional solutions are themselves black holes, and are appropriate for investigating exact "$S$-wave" scattering in the BTZ metrics. Using a different dimensional reduction to the string-inspired model of two-dimensional gravity, the BTZ solutions are related to the familiar two-dimensional black hole and the linear dilaton vacuum.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The dynamics of s-waves of 3d gravity are governed by 2d JT gravity.
“Another example is the observation that the dynamics of s-waves of 3d gravity are governed by 2d JT gravity (Achucarro and Ortiz 1993).”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Achucarro and Ortiz 1993
The citation lists haven’t been fetched yet
References 23 · Cited by 171
- Authors
- Achúcarro, A., & Ortiz, M. E.
- Affiliations
- Tufts University (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1993-10-15
- Volume
- 48
- Issue
- 8
- Pages
- 3600-3605
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2036766766
- Cited by
- 171
- References
- 23
- Citations by year
- 2026: 3 · 2025: 10 · 2024: 7 · 2023: 8 · 2022: 15 · 2021: 17 · 2020: 4 · 2019: 6 · 2018: 3 · 2016: 1 · 2014: 2 · 2013: 2 · 2012: 2
- FWCI
- 8.47
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- BTZ black hole, two-dimensional black holes, dimensional reduction, Jackiw-Teitelboim gravity, dilaton gravity, charged black holes, s-wave scattering, three-dimensional gravity, two-dimensional gravity
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
