The ultrarelativistic Reissner-Nordstrom field in the Colombeau algebra

Details The ultrarelativistic Reissner-Nordstrom field in the Colombeau algebra The ultrarelativistic Reissner-Nordstrom field in the Colombeau algebra

1996-06-19

arxiv.org/abs/gr-qc/9606059v2

J.Math.Phys. 38 (1997) 1614-1622

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

final version, minor grammatical changes

Scientific paper

10.1063/1.531819

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.

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