Issues

 / 

1964

 / 

April

  

Special issue


Problems of relativistic cosmology

,  a
a Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation

CONTENTS
I. Features of cosmological solutions of the gravitational equations 495
1. Introduction 495
2. General solution with fictitious singularity 496
3. Anisotropic solution with singularity 500
4. Quasi-isotropic solution 504
5. General conclusions concerning singularities of cosmological solutions 505
II. Gravitational stability of the isotropic world 506
6. Initial model and equations of small perturbations 506
7. Expansion in plane waves 509
8. Perturbations with variation of density of matter 509
9. Rotational perturbations 514
10. Gravitational waves 514
Appendices 514
A. Expansion of the solution of the gravitational equations near a regular point 514
B. Solutions that depend on one variable 515
C. Three-dimensional Ricci tensor P[i]αβ[/i] 516
D. Next terms of the expansion of the anisotropic solution 517
E. Stability of anisotropic solution 518
F. Origin of other types of singularities 519
G. Examples of singularities in exact solutions 520
I. Equations of small perturbations of the gravitational field 521
Cited literature 522

Fulltext pdf (2.6 MB)
Fulltext is also available at DOI: 10.1070/PU1964v006n04ABEH003585
PACS: 98.80.Jk, 04.20.Dw, 04.20.Jb, 04.25.Nx, 04.30.Nk (all)
DOI: 10.1070/PU1964v006n04ABEH003585
URL: https://ufn.ru/en/articles/1964/4/d/
Citation: Lifshitz E M, Khalatnikov I M "Problems of relativistic cosmology" Sov. Phys. Usp. 6 495–522 (1964)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Лифшиц Е М, Халатников И М «Проблемы релятивистской космологии» УФН 80 391–438 (1963); DOI: 10.3367/UFNr.0080.196307d.0391

Cited by (138) Similar articles (12) ↓

  1. Ya.B. Zel’dovich “The theory of the expanding Universe as originated by A. A. FridmanSov. Phys. Usp. 6 475–494 (1964)
  2. I.M. Khalatnikov, A.Yu. Kamenshchik “Singularity, initial conditions and quantum tunneling in modern cosmologyPhys. Usp. 41 525–542 (1998)
  3. V.A. Rubakov, M.E. Shaposhnikov “Electroweak baryon number non-conservation in the early Universe and in high-energy collisionsPhys. Usp. 39 461–502 (1996)
  4. A.V. Gurevich, K.P. Zybin “Large-scale structure of the Universe. Analytic theory.Phys. Usp. 38 687–722 (1995)
  5. B.L. Al’tshuler, A.O. Barvinskii “Quantum cosmology and physics of transitions with a change of the spacetime signaturePhys. Usp. 39 429–459 (1996)
  6. P.Ya. Polubarinova-Kochina “Aleksandr Aleksandrovich Fridman (on the seventy-fifth anniversary of his birth)Sov. Phys. Usp. 6 467–472 (1964)
  7. V.A. Fok “The researches of A. A. Fridman on the Einstein theory of gravitationSov. Phys. Usp. 6 473–474 (1964)
  8. E.M. Lifshitz “Petr Leonidovich KapitzaPhys. Usp. 37 1167–1169 (1994)
  9. N.S. Kardashev “Radioastron: a radio telescope many times the size of Earth. Research programPhys. Usp. 52 1127–1137 (2009)
  10. A.S. Monin “Global hydrodynamics of the sunSov. Phys. Usp. 23 594–619 (1980)
  11. B.A. Volkov, B.G. Idlis, M.Sh. Usmanov “Interface states in inhomogeneous semiconductor structuresPhys. Usp. 38 761–771 (1995)
  12. V.P. Vizgin, Ya.A. Smorodinskii “From the equivalence principle to the equations of gravitationSov. Phys. Usp. 22 489–513 (1979)

The list is formed automatically.

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions