The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Critical Phenomena in Gravitational Collapse
Open accessAbstract
As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity. Universality, power-law scaling of the black hole mass, and scale echoing have given rise to the term "critical phenomena". They are explained by the existence of exact solutions which are attractors within the black hole threshold, that is, attractors of codimension one in phase space, and which are typically self-similar. Critical phenomena give a natural route from smooth initial data to arbitrarily large curvatures visible from infinity, and are therefore likely to be relevant for cosmic censorship, quantum gravity, astrophysics, and our general understanding of the dynamics of general relativity.
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Cites
Quasinormal modes of AdS black holes and the approach to thermal equilibrium
Horowitz, G. T., & Hubeny, V. E. (2000) · Physical Review D · doi:10.1103/physrevd.62.024027 · Cited by 926
Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes
Niemeyer, J. C., & Jedamzik, K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.5481 · Cited by 393
Dynamics of primordial black hole formation
Niemeyer, J. C., & Jedamzik, K. (1999) · Physical Review D · doi:10.1103/physrevd.59.124013 · Cited by 362
The problem of a self-gravitating scalar field
Christodoulou, D. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01205930 · Cited by 321
Examples of Naked Singularity Formation in the Gravitational Collapse of a Scalar Field
Christodoulou, D. (1994) · The Annals of Mathematics · doi:10.2307/2118619 · Cited by 304
Birmingham, D. (2001) · Physical Review D · doi:10.1103/physrevd.64.064024 · Cited by 222
Scalar field counterexamples to the cosmic censorship hypothesis
Roberts, M. D. (1989) · General Relativity and Gravitation · doi:10.1007/bf00769864 · Cited by 172
Gravitational collapse in 2+1 dimensional AdS spacetime
Pretorius, F., & Choptuik, M. W. (2000) · Physical Review D · doi:10.1103/physrevd.62.124012 · Cited by 106
Phases of massive scalar field collapse
Brady, P. R., Chambers, C. M., & Gonçalves, S. M. C. V. (1997) · Physical Review D · doi:10.1103/physrevd.56.r6057 · Cited by 90
Critical collapse in (2+1)-dimensional AdS spacetime: quasi-CSS solutions and linear perturbations
Clément, G., & Fabbri, A. (2002) · Nuclear Physics B · doi:10.1016/s0550-3213(02)00183-9 · Cited by 30
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Senovilla, J. M. M., & Garfinkle, D. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/12/124008 · Cited by 248
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Gravitational collapse in 2+1 dimensional AdS spacetime
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Metadata
- Authors
- Gundlach, C., & Martín-García, J. M.
- Venue
- Living Reviews in Relativity
- Published
- 2007-12
- Volume
- 10
- Issue
- 1
- Pages
- 4-4
- ISSN
- 1433-8351 (ISSN-L)
- 2367-3613
- OpenAlex
- W2103342599
- Cited by
- 297
- References
- 17
- FWCI
- 5.30
- Type
- journal article
- Language
- en
- Open access
- diamond
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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