The Ultrarelativistic Reissner Nordstrøm Field in the Colombeau Algebra
نویسنده
چکیده
The electromagnetic field of the ultrarelativistic Reissner Nordstrøm Solution shows the physically highly unsatisfactory property of a vanishing field tensor but a nonzero, i.e. δ-like, energy density. The aim of this work is to analyse this situation from a mathematical point of view, using the framework of Colombeau’s theory of nonlinear generalized functions. It is shown that the physically unsatisfactory situation is mathematically perfectly defined and that one cannot aviod such situations when dealing with distributional valued field tensors. PACS numbers: 04.40.Nr, 02.30.Sa, 04.90+e, 02.90.+p
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The Ultrarelativistic Reissner Nordstrrm Field in the Colombeau Algebra
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