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Geodesies of an affine connection and electromagnetism with radiation reaction

Published online by Cambridge University Press:  17 April 2009

R.R. Burman
R.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 a point test charge in an external electromagnetic field with the effect of electromagnetic radiation reaction included. The equation of motion applicable in a general Riemannian space-time is written as the geodesic equation of an affine connection. The connection is the sum of the Christoffel connection and a tensor which depends on, among other things, the external electromagnetic field, the charge and mass of the particle and the Ricci tensor. The affinity is not unique; a choice is made so that the covariant derivative of the metric tensor with respect to the connection vanishes. The special cases of conformally flat spaces and the space of general relativity are discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 2 , April 1971 , pp. 225 - 240
Copyright
Copyright © Australian Mathematical Society 1971

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