The ultrarelativistic Reissner-Nordstrom field in the Colombeau algebra
Steinbauer, Roland
arXiv, 9606059 / Harvested from arXiv
Text on arXiv
The electromagnetic field of the ultrarelativistic Reissner-Nordstrom solution shows the physically highly unsatisfactory property of a vanishing field tensor but a nonzero, i.e., delta-like, energy density. The aim of this work is to analyze 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.
Publié le : 1996-06-19
Classification:  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{9606059,
     author = {Steinbauer, Roland},
     title = {The ultrarelativistic Reissner-Nordstrom field in the Colombeau algebra},
     journal = {arXiv},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9606059}
}

Steinbauer, Roland. The ultrarelativistic Reissner-Nordstrom field in the Colombeau algebra. arXiv, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/9606059/