Bivector field theories, divergence-free vectors and the Einstein–Maxwell field equations
- 1 July 1977
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (7) , 1491-1498
- https://doi.org/10.1063/1.523412
Abstract
A new derivation of the complete set of the Einstein–Maxwell field equations is presented which involves neither a variational principle nor the existence of a vector field (the so-called 4-potential). Unlike previous derivations, this derivation can therefore be used to motivate the Einstein–Maxwell field equations independently of the assumption of the existence or nonexistence of magnetic monopoles.Keywords
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