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Weakly Turbulent Instability of Anti–de Sitter Spacetime
Open accessAbstract
We study the nonlinear evolution of a weakly perturbed anti-de Sitter (AdS) space by solving numerically the four-dimensional spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant. Our results suggest that AdS space is unstable under arbitrarily small generic perturbations. We conjecture that this instability is triggered by a resonant mode mixing which gives rise to diffusion of energy from low to high frequencies.
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Cites
Universality and scaling in gravitational collapse of a massless scalar field
Choptuik, M. W. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.9 · Cited by 1,439
(1990) · French digital mathematics library (Numdam) · Cited by 919
Friedrich, H. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01205488 · Cited by 475
Dynamics in non-globally-hyperbolic static spacetimes: III. Anti-de Sitter spacetime
Ishibashi, A., & Wald, R. M. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/12/012 · Cited by 249
Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-deSitter Spacetime
Ishibashi, A., & Wald, R. M. (2004) · CERN Document Server (European Organization for Nuclear Research) · Cited by 228
Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times
Friedrich, H. (1995) · Journal of Geometry and Physics · doi:10.1016/0393-0440(94)00042-3 · Cited by 202
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
Critical Behavior in Vacuum Gravitational Collapse in 4 + 1 Dimensions
Bizoń, P., Chmaj, T., & Schmidt, B. G. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.071102 · Cited by 65
Self-citationOn the uniqueness and global dynamics of AdS spacetimes
Anderson, M. T. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/23/021 · Cited by 52
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Askar, A., Belczynski, C., Bertone, G., Bon, E., Blas, D., Brito, R., Bulik, T., Burrage, C., Byrnes, C. T., Caprini, C., et al. (2019) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab0587 · Cited by 744
Liebling, S. L., & Palenzuela, C. (2017) · Living Reviews in Relativity · doi:10.1007/s41114-017-0007-y · Cited by 371
Cardoso, V., Crispino, L. C. B., Macedo, C. F. B., Okawa, H., & Pani, P. (2014) · Physical Review D · doi:10.1103/physrevd.90.044069 · Cited by 309
Large D limit of Einstein’s equations
Emparan, R., & Herzog, C. P. (2020) · Reviews of Modern Physics · doi:10.1103/revmodphys.92.045005 · Cited by 54
Scalar field critical collapse in2+1dimensions
Jałmużna, J., Gundlach, C., & Chmaj, T. (2015) · Physical Review D · doi:10.1103/physrevd.92.124044 · Cited by 20
Metadata
- Authors
- Bizoń, P., & Rostworowski, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-07-15
- Volume
- 107
- Issue
- 3
- Pages
- 031102-031102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1950570219
- Cited by
- 481
- References
- 9
- FWCI
- 21.49
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
