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OSCILLATORY APPROACH TO THE SINGULAR POINT IN RELATIVISTIC COSMOLOGY
Abstract
Contents 1. Introduction 745 2. Kasner's Generalized Solution 746 3. Oscillatory Approach to the Singular Point 748 4. Evolution of Model Under the Influence of Two Perturbations 751 5. Evolution of Model in the Asymptotic Region of Arbitrarily Short Times 752 6. Statistical Analysis of the Evolution of the Model on Approaching the Singular Point 54 7. Construction of General Solution for a Long Era with Small Oscillations 756 8. Concluding Remarks 759 Appendices A. Some Information from the Theory of Continuous Fractions 760 B. Refinement of the Calculations in Section 4 761 C. Homogeneous Spaces 762 D. Homogeneous Spaces of Type VIII and IX , 764 Cited Literature
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Citations
Cites
Gravitational Collapse and Space-Time Singularities
Penrose, R. (1965) · Physical Review Letters · doi:10.1103/physrevlett.14.57 · Cited by 2,977
Cited by
General Relativity and the Einstein Equations
Choquet-Bruhat, Y. (2008) · doi:10.1093/acprof:oso/9780199230723.001.0001 · Cited by 525
Da̧browski, M. P., Stachowiak, T., & Szydłowski, M. (2003) · Physical Review D · doi:10.1103/physrevd.68.103519 · Cited by 304
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
Horowitz, G. T., & Maldacena, J. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/02/008 · Cited by 270
Metadata
- Authors
- Belinskiĭ, V. A., Lifshitz, E. M., & Khalatnikov, I. M.
- Venue
- Soviet Physics Uspekhi
- Published
- 1971-06-30
- Volume
- 13
- Issue
- 6
- Pages
- 745-765
- ISSN
- 0038-5670 (ISSN-L)
- OpenAlex
- W1969455753
- Cited by
- 295
- References
- 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: OSCILLATORY APPROACH TO THE SINGULAR POINT IN RELATIVISTIC COSMOLOGY. https://app.cochat.ai/papers/10.1070/pu1971v013n06abeh004279
- The paper
- Belinskiĭ, V. A., Lifshitz, E. M., & Khalatnikov, I. M. (1971). OSCILLATORY APPROACH TO THE SINGULAR POINT IN RELATIVISTIC COSMOLOGY. Soviet Physics Uspekhi. https://doi.org/10.1070/pu1971v013n06abeh004279
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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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