Oscillatory approach to the singular point in relativistic cosmology

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

PACS: 98.80.Jk, 04.20.Jb, 95.30.Sf (all)
DOI: 10.1070/PU1971v013n06ABEH004279
URL: https://ufn.ru/en/articles/1971/6/d/
Citation: Belinskii V A, Lifshitz E M, Khalatnikov I M "Oscillatory approach to the singular point in relativistic cosmology" Sov. Phys. Usp. 13 745–765 (1971)

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TY JOUR
TI Oscillatory approach to the singular point in relativistic cosmology
AU Belinskii, V. A.
AU Lifshitz, E. M.
AU Khalatnikov, I. M.
PB Physics-Uspekhi
PY 1971
JO Physics-Uspekhi
JF Physics-Uspekhi
JA Phys. Usp.
VL 13
IS 6
SP 745-765
UR https://ufn.ru/en/articles/1971/6/d/
ER https://doi.org/10.1070/PU1971v013n06ABEH004279

Оригинал: Белинский В А, Лифшиц Е М, Халатников И М «Колебательный режим приближения к особой точке в релятивистской космологии» УФН 102 463–500 (1970); DOI: 10.3367/UFNr.0102.197011d.0463