Il Nuovo Cimento B (1971-1996)

, Volume 107, Issue 8, pp 941–960 | Cite as

Toward a field theory of gravitation

  • H. Yilmaz
Article

Summary

A new theory of gravitation is presented in which the righ-hand side of the field equations contains the gravitational-field stress-energy tensortμν. 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 tensortμν which must be added to the matter tensor τμν. 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.

Keywords

PACS 04.20.Cv Fundamental problems and general formalism PACS 04.60 Quantum theory of gravitation PACS 95.10.Ce Celestial mechanics 

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Copyright information

© Società Italiana di Fisica 1992

Authors and Affiliations

  • H. Yilmaz
    • 1
    • 2
  1. 1.Hamamatsu Photonics, K. K.Hamamatsu CityJapan
  2. 2.Electro-Optics Technology CenterTufts UniversityMedfordUSA

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