The Einstein-Maxwell field equations,II |
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Authors: | Demetrios D Dionysiou |
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Institution: | (1) Department of Mathematics, Hellenic Air-Force Academy, Dekelia-Attica, Greece |
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Abstract: | In order to arrive at more general results solving Einstein-Maxwell's equations our investigation is centered around an electromagnetic spin tensor, which must be chosen in such a way that conservation laws still hold. This notion of the combined tensor is of course closely linked with the unified field equations. We shall avoid in this way the problem of the form of the matter tensor and neglect non-linear gravitational terms in the Ricci tensor. Then, the field equations have as solutionsh
ij=h
ij
(P)
+h
ij
(h)
, whereh
ij
(P)
are particular solutions, which are obtained by direct calculations andh
ij
(h)
are solutions of h
ij
(h)
=0. The quantitiesh
ij
(P)
are purely electromagnetic in nature, whileh
ij
(h)
may represent purely gravitational terms. The results obtained complete the ones which have been published already in the preceeding paper (Dionysiou, 1980a; which will hereafter be referred to as Paper I). |
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Keywords: | |
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