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Particle paths of general relativity as geodesics of an affine connection

Published online by Cambridge University Press:  17 April 2009

R. Burman
R. Burman
Affiliation:
University of Western Australia, Nedlands, Western Australia.
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Abstract

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This paper deals with the motion of incoherent matter, and hence of test particles, in the presence of fields with an arbitrary energy-momentum tensor. The equations of motion are obtained from Einstein's field equations and are written in the form of geodesic equations of an affine connection. The special cases of the electromagnetic field, the Proca field and a scalar field are discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 3 , December 1970 , pp. 325 - 335
Copyright
Copyright © Australian Mathematical Society 1970

References

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