The DOI matches its Crossref record; 74 of the 74 references it cites were found in a registry or an index.
Cosmological billiards
Open accessAbstract
It is shown in detail that the dynamics of the Einstein-dilaton- p -form system in the vicinity of a spacelike singularity can be asymptotically described, at a generic spatial point, as a billiard motion in a region of Lobachevskii space (realized as a hyperboloid in the space of logarithmic scale factors). This is done within the Hamiltonian formalism, and for an arbitrary number of spacetime dimensions D ≥ 4. A key role in the derivation is played by the Iwasawa decomposition of the spatial metric, and by the fact that the off-diagonal degrees of freedom, as well as the p -form degrees of freedom, get 'asymptotically frozen' in this description. For those models admitting a Kac–Moody theoretic interpretation of the billiard dynamics, we outline how to set up an asymptotically equivalent description in terms of a one-dimensional nonlinear σ-model formally invariant under the corresponding Kac–Moody group.
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Cites
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Cited by
McAllister, L., & Silverstein, E. (2008) · General Relativity and Gravitation · doi:10.1007/s10714-007-0556-6 · Cited by 356
Choquet-Bruhat, Y. (2008) · General Relativity and the Einstein Equations · doi:10.1093/acprof:oso/9780199230723.003.0010 · Cited by 295
Horowitz, G. T., & Maldacena, J. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/02/008 · Cited by 270
Kasner and mixmaster behavior in universes with equation of statew>~1
Erickson, J. K., Wesley, D. H., Steinhardt, P. J., & Turok, N. (2004) · Physical Review D · doi:10.1103/physrevd.69.063514 · Cited by 266
Loop quantum cosmology of Bianchi type IX models
Wilson-Ewing, E. (2010) · Physical Review D · doi:10.1103/physrevd.82.043508 · Cited by 179
Metadata
- Authors
- Damour, T., Henneaux, M., & Nicolai, H.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2003-04-15
- Volume
- 20
- Issue
- 9
- Pages
- R145-R200
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W1596494754
- Cited by
- 390
- References
- 74
- FWCI
- 16.35
- Type
- journal article
- Language
- en
- Open access
- bronze
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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.
