Foundations of Physics

, Volume 26, Issue 3, pp 369–389 | Cite as

A class of metric theories of gravitation on Minkowski spacetime

  • A. Nairz


A class of metric theories of gravitation on Minkowski spacetime is considered, which is—provided that certain assumptions (staying close to the original ideas of Einstein) are made—the almost most general one that can be considered. In addition to the Minkowskian metric G a dynamical metric H (called the Einstein metric)is defined by means of a second-rank tensor field S (referred to as gravitational potential).The theory is defined by a Lagrangian ℒ, from which the field equations as well as, e.g., the energy-momentum tensor field for the gravitational field follow. The case of weak fields is considered explicitly. The static, spherically and time-inversal symmetric field is calculated, and as a first step to investigate the theory's viability the parameters are fitted to the experimental data of the perihelion advance and the deflection of light at the Sun. Finally the question of gauge freedoms in the gravitational potential is briefly discussed.


Experimental Data Field Equation Gravitational Field Gravitational Potential Original Idea 
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  1. 1.
    N. Rosen,Phys. Rev. 57, 147–150 (1940).Google Scholar
  2. 2.
    N. Rosen,Phys. Rev. 57, 150–153 (1940).Google Scholar
  3. 3.
    N. Rosen,Ann. Phys (N.Y.) 22, 1–11 (1963).Google Scholar
  4. 4.
    L. P. Grishchuk, A. N. Petrov, and A. D. Popova,Commun. Math. Phys. 93, 379–396 (1984).Google Scholar
  5. 5.
    A. A. Logunov, Yu. M. Loskulov, and M. A. Mestvirishvili,Sov. Phys. Usp. 31, 581–596 (1988).Google Scholar
  6. 6.
    Ya. B. Zel'dovich and L. P. Grishchuk,Sov. Phys. Usp. 29, 780–787 (1986).Google Scholar
  7. 7.
    Ya. B. Zel'dovich and L. P. Grishchuk,Sov. Phys. Usp. 31, 666–671 (1988).Google Scholar
  8. 8.
    L. P. Grishchuk,Sov. Phys. Usp. 33, 669–676 (1990).Google Scholar
  9. 9.
    N. Straumann,General Relativity and Relativistic Astrophysics (Springer. New York, 1991).Google Scholar
  10. 10.
    H. Stephani,Allgemeine Relativitätstheorie (Deutscher Verlag der Wissenschaften, Berlin. 1991).Google Scholar
  11. 11.
    F. J. Belinfante,Physica 6, 887–897 (1939).Google Scholar
  12. 12.
    C. M. Will,Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, 1981).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • A. Nairz
    • 1
  1. 1.Institut für Theoretische PhysikUniversität InnsbruckInnsbruckAustria

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