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Quadratic Langrangians and static gravitational fields

Published online by Cambridge University Press:  24 October 2008

H. A. Buchdahl
H. A. Buchdahl
Affiliation:
Australian National University, Canberra
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Abstract

It is shown that the solutions of the field equations generated by the most general effective quadratic Lagrangian aR2 + bRklRkl which are static, singularity-free, of class C4 and asymptotically flat (of rank A3) are (i) conformally flat when 3a + b = 0, (ii) flat when 3a + b ≠ 0 (b ≠ 0), and (iii) have zero scalar curvature when b = 0.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 1 , July 1973 , pp. 145 - 148
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

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