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On Eddington's higher order equations of the gravitational field

Published online by Cambridge University Press:  20 January 2009

H. A. Buchdahl
H. A. Buchdahl
Affiliation:
Physics Department, University of Tasmania, Hobart, Tasmania.
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Einstein's fundamental equations of the gravitational field are

where Tμν are the components of the energy tensor and λ is the cosmical constant. In empty space these equations become

which may be reduced to

since G = 4λ, by contraction of (2).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 8 , Issue 2 , October 1948 , pp. 89 - 94
Copyright
Copyright © Edinburgh Mathematical Society 1948

References

REFERENCES

1.Eddington, , 1930. The Mathematical Theory of Relativity, 2nd edn. C.U.P.Google Scholar
2.Eisenhart, , 1926. Riemannian Geometry, § 26, p. 83. Princeton U.P.Google Scholar