Hostname: page-component-7bb8b95d7b-nptnm Total loading time: 0 Render date: 2024-09-12T00:44:42.256Z Has data issue: false hasContentIssue false

On Eddington's higher order equations of the gravitational field

Published online by Cambridge University Press:  20 January 2009

H. A. Buchdahl
Affiliation:
Physics Department, University of Tasmania, Hobart, Tasmania.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
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