Toward a field theory of gravitation
- 78 Downloads
A new theory of gravitation is presented in which the righ-hand side of the field equations contains the gravitational-field stress-energy tensort μ ν . 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 μ ν which must be added to the matter tensor τ μ ν . 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.
KeywordsPACS 04.20.Cv Fundamental problems and general formalism PACS 04.60 Quantum theory of gravitation PACS 95.10.Ce Celestial mechanics
Unable to display preview. Download preview PDF.
- 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
- A. Einstein:Ann. Phys. (Leipzig),49, (1916). See eqs. (56) and (57).Google Scholar
- D. Hilbert:Gött. Nachr.,3, 394 (1915);P. A. M. Dirac.:General Theory of Relativity (J. Wiley, New York, N.Y., 1975).Google Scholar
- L. D. Landau andE. M. Lifshitz:Classical Theory of Fields (Pergamon Press, London, 1975), 4 ed., pp. 280.Google Scholar
- B. De Wit andJ. Smith:Field Theory in Particle Physics, Vol. 1 (North-Holland, 1986), p. 295.Google Scholar