Skip to main content
Log in

23. A Nonstationary Model of the Universe

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. V. B. Braginskii and A. G. Polnarev, “The relativistic spin-quadrupole gravitational effect,” Pis'ma Zh. Eksp. Teor. Fiz.,31, No. 8, 444–447 (1980).

    Google Scholar 

  2. S. Weinberg, Gravitation and Cosmology, Wiley (1972).

  3. I. I. Gol'denblatt and S. V. Ul'yanov, Introduction to the Theory of Relativity and Its Applications to New Technology [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  4. V. I. Denisov and A. A. Logunov, “A new mechanism of freeing energy in astrophysical objects,” Teor. Mat. Fiz.,48, No. 3, 275–283 (1981).

    Google Scholar 

  5. O. S. Ivanitskaya, The Lorentz Basis and Gravitational Effects in Einstein's Theory of Gravitation [in Russian], Nauka i Tekhnika, Minsk (1979).

    Google Scholar 

  6. N. P. Konopleva, “Gravitational effects in the cosmos,” Usp. Fiz. Nauk,123, No. 4, 537–563 (1977).

    Google Scholar 

  7. L. D. Landau and E. M. Lifshits, The Classical Theory of Fields, Wiley (1976).

  8. D. Ya. Martynov, A Course of General Astrophysics [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  9. C. W. Misner, K. Thorn, and J. Wheeler, Gravitation, W. H. Freeman (1973).

  10. C. W. Misner, K. Thorn, and J. Wheeler, Gravitation, W. H. Freeman (1973).

  11. V. A. Fock, The Theory of Space, Time, and Gravitation, Pergamon (1964).

  12. H. Bondi, “Negative mass in general relativity,” Rev. Mod. Phys.,29, No. 3, 423–428 (1957).

    Google Scholar 

  13. R. H. Dicke, “The lecture on gravitation,” in: Proceed. of the Int. School of Physics “Enrico Fermi,” Academic Press, New York (1962), pp. 16–29.

    Google Scholar 

  14. R. H. Dicke, “General relativity: survey and experimental test,” in: Gravitation and the Universe, Philadelphia (1969), pp. 19–24.

  15. R. H. Dicke and H. M. Goldberg, “Solar oblateness and general relativity,” Phys. Rev. Lett.,18, No. 9, 313–316 (1967).

    Google Scholar 

  16. A. Friedman, “Über die Krümmung des Raumes,” Phys. Z.,10, No. 11, 377–386 (1922).

    Google Scholar 

  17. E. P. Hubble, “The velocity-distance diagram for galaxies,” Proc. Nat. Acad. Sci.,15, 169 (1929).

    Google Scholar 

  18. D. L. Lee, A. P. Lightman, and W. T. Ni, “Conservation laws and variational principles in metric theories of gravity,” Phys. Rev. D: Particles Fields,10, No. 6, 1685–1700 (1974).

    Google Scholar 

  19. K. Nordtvedt, Jr., “Equivalence principle for massive bodies. Phenomenology,” Phys. Rev.,169, No. 5, 1014–1017 (1968).

    Google Scholar 

  20. K. Nordtvedt, Jr., “Post-Newtonian effects in lunar laser ranging,” Phys. Rev. D.,7, No. 8, 2347–2356 (1973).

    Google Scholar 

  21. K. Nordtvedt, Jr., “Equivalence principle for massive bodies. Theory,” Phys. Rev.,169, No. 5, 1017–1025 (1973).

    Google Scholar 

  22. R. F. Oconnel, “Present status of the theory of the relativity gyroscope experiment,” Gen. Relat. Gravit.,3, No. 2, 123–133 (1972).

    Google Scholar 

  23. J. Oort, “Distribution of galaxies and density in the universe,” Brussels (1959).

  24. R. D. Reasenberg, I. I. Shapiro, P. E. MacNeil, R. B. Goldstein, J. C. Breidenthal, J. P. Brenkle, D. L. Cain, T. M. Kaufman, T. A. Komarek, and A. I. Zygeilbaum, “Viking relativity experiment: verification of signal retardation by solar gravity,” Astrophys. J. Lett.,234, No. 3, 219–221 (1979).

    Google Scholar 

  25. I. Shapiro, “New method for the detection of the light deflection by solar gravity,” Science,157, No. 3790, 806–808 (1967).

    Google Scholar 

  26. I. Shapiro, “Fourth test of general relativity,” Phys. Rev. Lett.,13, No. 26, 789–791 (1964).

    Google Scholar 

  27. I. Shapiro, “Testing general relativity,” Gen. Relat. Gravit.,3, No. 2, 135–148 (1972).

    Google Scholar 

  28. I. Shapiro, C. C. Counselman, and R. W. King, “Verification of the principle of equivalence for massive bodies,” Phys. Rev. Lett.,36, No. 11, 555–558 (1976).

    Google Scholar 

  29. E. L. Turner, “Statistics of the Hubble diagram,” Astrophys. J.,230, No. 2, 291–303 (1979).

    Google Scholar 

  30. C. M. Will, “Conservation laws. Lorentz invariance and values of the PPN parameters,” Astrophys. J.,169, No. 1, 125–140 (1971).

    Google Scholar 

  31. C. M. Will, “Parametrized post-Newtonian hydrodynamics and the Nordtvedt effect,” Astrophys. J.,163, No. 3, 611–628 (1971).

    Google Scholar 

  32. C. M. Will, “Anisotropy in the Newtonian gravitational constant,” Astrophys. J.,169, No. 1, 141–155 (1971).

    Google Scholar 

  33. C. M. Will, “Experimental disproof of a class of linear theories of gravitation,” Astrophys. J.,185, No. 1, 31–42 (1973).

    Google Scholar 

  34. C. M. Will, “The confrontation between general relativity and experiment,” in: Proc. IX Texas Symposium on Relativistic Astrophysics, Munich (1978), pp. 1–25.

  35. C. M. Will, “The theoretical tools of experimental gravitation,” in: Proceed. of the International School of Physics “Enrico Fermi,” Academic Press, New York (1974), pp. 1–110.

    Google Scholar 

  36. C. M. Will and K. Nordtvedt, Jr., “Preferred-frame theories and an extended PPN formalism,” Astrophys. J.,177, No. 3, 757–774 (1972).

    Google Scholar 

  37. H. G. Williams, R. H. Dicke, P. L. Bender, C. O. Alley, W. E. Carter, D. G. Currie, D. H. Eckhard, J. E. Faller, W. M. Kaula, J. D. Mulholland, H. H. Plotkin, S. K. Poultney, P. J. Shelus, E. C. Silverberg, W. S. Sinclair, M. A. Slade, and D. T. Wilkinson, “New test of the equivalence principle for lunar ranging,” Phys. Rev. Lett.,36, No. 11, 551–554 (1976).

    Google Scholar 

Download references

Rights and permissions

Reprints and permissions

About this article

Cite this article

23. A Nonstationary Model of the Universe. J Math Sci 26, 1801–1810 (1984). https://doi.org/10.1007/BF01083742

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01083742

Keywords

Navigation