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Toward a field theory of gravitation

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Il Nuovo Cimento B (1971-1996)

Summary

A new theory of gravitation is presented in which the righ-hand side of the field equations contains the gravitational-field stress-energy tensort νμ . The crucial new information leading to this construction is the demonstration that the two basic differential identities of space-time geometry (that of Bianchi and that of Freud) require atrue gravitational field stress-energy tensort νμ which must be added to the matter tensor τ νμ . Otherwise, the two identities clash and lead to a mathematical overdetermination which creates insurmountable internal difficulties for the curved-space-time theory of gravitation as a whole.

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References

  1. E. Schrödinger:Phys. Z.,19, 4 (1918).

    MATH  Google Scholar 

  2. H. Bauer:Phys. Z.,19, 163 (1918).

    MATH  Google Scholar 

  3. H. Yilmaz:Proceedings of the International Symposium on Spacetime Symmetries (Wigner Symposium), edited byY. S. Kim andW. W. Zachary (North-Holland, Amsterdam, 1989).

    Google Scholar 

  4. A. Einstein:Ann. Phys. (Leipzig),49, (1916). See eqs. (56) and (57).

  5. A. Einstein:Phys. Z,19, 115 (1918).

    MATH  Google Scholar 

  6. H. Yilmaz:Ann. Phys. N.Y. Acad. Sci.,480, 625 (1986);Int. J. Theor. Phys.,21, 871 (1982);Phys. Lett. A,92, 377 (1982).

    Article  ADS  Google Scholar 

  7. H. Yilmaz:Phys. Rev.,111, 1417 (1958);Ann. Phys. (N.Y.),104, 414 (1976).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. D. Hilbert:Gött. Nachr.,3, 394 (1915);P. A. M. Dirac.:General Theory of Relativity (J. Wiley, New York, N.Y., 1975).

    Google Scholar 

  9. P. Freud:Ann. Math.,40, 417 (1939).

    Article  MathSciNet  Google Scholar 

  10. W. Pauli:Theory of Relativity (Dover Publications Co., New York, N.Y., 1958), p. 70, 216.

    MATH  Google Scholar 

  11. M. Carmeli, E. Leibowitz andN. Nissani:Gravitation (World Scientific, Singapore, 1990), p. 49–62.

    MATH  Google Scholar 

  12. L. D. Landau andE. M. Lifshitz:Classical Theory of Fields (Pergamon Press, London, 1975), 4 ed., pp. 280.

    Google Scholar 

  13. H. Yilmaz:Nuovo Cimento Lett.,7 337 (1973); see also ref. [6] above.

    Article  Google Scholar 

  14. B. O. J. Tupper:Nuovo Cimento B,19, 135 (1974);Nuovo Cimento Lett.,14, 627 (1974).

    MathSciNet  ADS  Google Scholar 

  15. H. P. Robertson andT. W. Noonan:Relativity and Cosmology (W. B. Saunders, Philadelphia, Penn., 1968), p. 239.

    MATH  Google Scholar 

  16. B. De Wit andJ. Smith:Field Theory in Particle Physics, Vol. 1 (North-Holland, 1986), p. 295.

    Google Scholar 

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Yilmaz, H. Toward a field theory of gravitation. Nuov Cim B 107, 941–960 (1992). https://doi.org/10.1007/BF02899296

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  • DOI: https://doi.org/10.1007/BF02899296

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