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Quiescent Cosmological Singularities
Open accessAbstract
Abstract: The most detailed existing proposal for the structure of spacetime singularities originates in the work of Belinskii, Khalatnikov and Lifshitz. We show rigorously the correctness of this proposal in the case of analytic solutions of the Einstein equations coupled to a scalar field or stiff fluid. More specifically, we prove the existence of a family of spacetimes depending on the same number of free functions as the general solution which have the asymptotics suggested by the Belinskii–Khalatnikov–Lifshitz proposal near their singularities. In these spacetimes a neighbourhood of the singularity can be covered by a Gaussian coordinate system in which the singularity is simultaneous and the evolution at different spatial points decouples.
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Citations
Cites
Oscillatory approach to a singular point in the relativistic cosmology
Belinskii, V. A., Khalatnikov, I. M., & Lifshitz, E. M. (1970) · Advances in Physics · doi:10.1080/00018737000101171 · Cited by 1,341
Isotropic Cosmological Singularities: I. Polytropic Perfect Fluid Spacetimes
Anguige, K., & Tod, K. P. (1999) · Annals of Physics · doi:10.1006/aphy.1999.5946 · Cited by 72
Cited by
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Ashtekar, A., & Singh, P. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/21/213001 · Cited by 1,205
General Relativity and the Einstein Equations
Choquet-Bruhat, Y. (2008) · doi:10.1093/acprof:oso/9780199230723.001.0001 · Cited by 525
Damour, T., Henneaux, M., & Nicolai, H. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/9/201 · Cited by 390
Loop quantum cosmology of Bianchi type I models
Ashtekar, A., & Wilson-Ewing, E. (2009) · Physical Review D · doi:10.1103/physrevd.79.083535 · Cited by 295
Choquet-Bruhat, Y. (2008) · General Relativity and the Einstein Equations · doi:10.1093/acprof:oso/9780199230723.003.0010 · Cited by 295
Metadata
- Authors
- Andersson, L., & Rendall, A. D.
- Venue
- Communications in Mathematical Physics
- Published
- 2001-05-01
- Volume
- 218
- Issue
- 3
- Pages
- 479-511
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2009388229
- Cited by
- 237
- References
- 2
- FWCI
- 7.74
- Type
- journal article
- Language
- en
- Open access
- green
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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.
