General Relativity and Gravitation

, Volume 14, Issue 8, pp 803–816 | Cite as

The gravitational field of static spherically symmetric bodies

  • Walter Petry
Research Articles

Abstract

The study of a previously proposed theory of gravitation [Petry, W. (1979).Gen. Rel. Grav.,10, 599; (1981).Ibid,13, 865] is continued. The field equations are given in a simple covariant form. For a perfect fluid with pressure the static spherically symmetric solutions of the gravitation theory are studied. Inertial and gravitational mass are identical. The solutions agree with the corresponding results of the theory of general relativity up to high order in the coupling constant. Under some “natural” conditions the solutions of a static spherically symmetric body are not singular.

Keywords

General Relativity Field Equation Differential Geometry Gravitational Field Symmetric Solution 

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References

  1. 1.
    Petry, W. (1979).Gen. Rel. Grav.,10, 599.Google Scholar
  2. 2.
    Petry, W. (1981).Gen. Rel. Grav.,13, 865.Google Scholar
  3. 3.
    Petry, W. (1981).Gen. Rel. Grav.,13, 1057.Google Scholar
  4. 4.
    Rosen, N. (1974).Ann. Phys. (N. Y.),84, 455.Google Scholar
  5. 5.
    Falik, D. and Rosen, N. (1980).Astrophys. J.,239, 1024.Google Scholar
  6. 6.
    Canuto, V. (1975).Ann. Rev. Astron. Astrophys.,13, 335.Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • Walter Petry
    • 1
  1. 1.Mathematisches Institut der Universität Düsseldorf4 Düsseldorf 1West Germany

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