Russian Physics Journal

, Volume 38, Issue 6, pp 632–637 | Cite as

Privileged coordinate system in a Schwarzschild field

  • I. L. Genkin
  • L. M. Chechin
Elementary Particle Physics And Field Theory
Received:
  • 26 Downloads

Abstract

A basis is given for the idea that a Gaussian coordinate system is the most rational outside a singular sphere in a Schwarzschild field. It can also be extended into the matter below the singular sphere, describing a stationary distribution of matter with a density ρ=A/r2 at r<R and ρ=0 at r>R, where R≤rg.

Keywords

Coordinate System Stationary Distribution Singular Sphere Gaussian Coordinate System Privilege Coordinate System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    V. I. Rodichev, Theory of Gravitation in an Orthogonal Reference Frame [in Russian], Nauka, Moscow (1974).Google Scholar
  2. 2.
    A. Z. Petrov, Preprint ITF-71-1M, Kiev (1971).Google Scholar
  3. 3.
    L. D. Landau and E. M. Lifshitz, Field Theory [in Russian], 7th ed., Nauka, Moscow (1988).Google Scholar
  4. 4.
    J. Eisenstaedt, in: The Einstein Collection 1984–1985 [Russian translation], Nauka, Moscow (1988), pp. 148–200.Google Scholar
  5. 5.
    I. D. Novikov, Soobshch. Gos. Astron. Inst. Im. Shternberga, No. 132, 3–42 (1964).Google Scholar
  6. 6.
    L. S. Abrams, Phys. Rev.,D20, No. 10, 2474–2479 (1979).Google Scholar
  7. 7.
    K. P. Stanyukovich and O. Sh. Sharshekeev, Prikl. Mat. Mekh.,37, No. 4, 739–745 (1973).Google Scholar
  8. 8.
    M. E. Gertsenshtein, K. P. Stanyukovich, and V. A. Pogosyan, Probl. Teor. Gravitatsii Elem. Chastits., No. 8, 132–146 (1977).Google Scholar
  9. 9.
    A. Lichnerowicz, Théories Relativistes de la Gravitation et de l'Electromagnétisme, Masson, Paris (1955).Google Scholar
  10. 10.
    V. D. Zakharov, N. P. Konopleva, and O. V. Savushkin, Dokl. Akad. Nauk,326, No. 6, 1002–1004 (1992).Google Scholar
  11. 11.
    Sosin de Sepul'veda and N. V. Mitskevich, in: Abstracts of Third Soviet Gravitation Conference [in Russian], Erevan (1972), pp. 154–156.Google Scholar
  12. 12.
    L. Ya. Arifov, Probl. Teor. Gravitatsii Elem. Chastits., No. 11, 96–113 (1980).Google Scholar
  13. 13.
    V. D. Zakharov, in: Lobachevskii and Modern Geometry: Abstracts of International Science Conference [in Russian], Part 2, Kazan' (1992), p. 29.Google Scholar
  14. 14.
    A. S. Rabinovich, in: Lobachevskii and Modern Geometry: Abstracts of International Science Converence [in Russian], Part 2, Kazan' (1992), p. 49.Google Scholar
  15. 15.
    M. P. Korkina, Ukr. Fiz. Zh.,14, No. 11, 1852–1855 (1969).Google Scholar
  16. 16.
    L. O'Raifeartaigh, Proc. R. Soc. A,245, No. 1241, 202–212 (1958).Google Scholar
  17. 17.
    M. P. Korkina, Ukr. Fiz. Zh.,16, No. 8, 1247–1251 (1971).Google Scholar
  18. 18.
    Ya. B. Zel'dovich and I. D. Novikov, Relativistic Astrophysics [in Russian], Nauka, Moscow (1967).Google Scholar
  19. 19.
    V. A. Brumberg, Relativistic Celestial Mechanics [in Russian], Nauka, Moscow (1972).Google Scholar
  20. 20.
    L. M. Chechin, Tr. Astrofiz. Inst., Akad. Nauk Kaz. SSR,32, 67–74 (1978).Google Scholar
  21. 21.
    Ya. B. Zel'dovich, Zh. Éksp. Teor. Fiz.,42, No. 2, 641–643 (1961).Google Scholar
  22. 22.
    B. K. Harrison, M. Wakano, K. S. Thorne, and J. A. Wheeler, Gravitational Theory and Gravitational Collapse, Univ. of Chicago Press, Chicago (1965).Google Scholar
  23. 23.
    Ya. B. Zel'dovich, Zh. Éksp. Teor. Fiz.,41, No. 5, 1609–1615 (1961).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • I. L. Genkin
  • L. M. Chechin

There are no affiliations available

Personalised recommendations