Embedding of a relativistic charged particle |
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| Authors: | Helmut J. Efinger |
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| Affiliation: | (1) Institute for Theoretical Physics, University of Vienna, Vienna;(2) Present address: Department of Physics and Astronomy, University of Georgia, Athens, Georgia |
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| Abstract: | A charged particle following the Reissner-Weyl vacuum field-distribution shows in its interior a real singularity (the matter-tensor becomes infinite). By embedding the interior submanifoldds2=g11·dr2+g00·dt2 into a pseudo-Euclidean spaceE3:ds2=dZ12+dZ22–dZ32 one finds that the embedded (r, t)-metric looks like a cone with the top liying in theZ1,Z2 plane. The general formulas of embedding the complete manifold into a pseudo-Euclidean spaceE6 are discussed. |
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