Summary
A study of the Brans-Dicke theory in vacuum shows that one of the Brans-Dicke equations is represented in terms of the Riemann curvature tensor, the Weyl projective curvature tensor and its covariant derivative. Studying the case that the covariant derivative of the Weyl projective curvature tensor vanishes, we make a comment on a relation between the Brans-Dicke space-time and a space-time of constant curvature.
Riassunto
Uno studio della teoria di Brans-Dicke nel vuoto mostra che una delle equazioni di Brans-Dicke è rappresentata in termini del tensore di curvatura di Riemann, del tensore di curvatura proiettivo di Weyl e della sua derivata covariante. Studiando il caso in cui la derivata covariante del tensore di curvatura proiettivo si annulla, si commenta la relazione tra lo spazio-tempo di Brans-Dicke e uno spazio-tempo a curvatura costante.
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References
C. Brans andR. H. Dicke:Phys. Rev.,124, 925 (1961).
P. C. Peters:J. Math. Phys. (N. Y.),10, 1029 (1969).
L. P. Eisenhart:Non-Riemannian Geometry (Providence, R.I., 1972).
E. B. Formalont andR. A. Sramek:Astrophys. J.,199, 749 (1975).
T. C. Van Flandern:Mont. Not. R. Astron. Soc.,170, 333 (1975).
L. L. Smalley andP. B. Eby:Nuovo Cimento B,35, 54 (1976).
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02738423.
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Nishioka, M. Remarks on the Brans-Dicke theory ofN dimensions. Nuov Cim B 74, 27–32 (1983). https://doi.org/10.1007/BF02721682
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DOI: https://doi.org/10.1007/BF02721682