The ultrarelativistic Reissner–Nordstro/m field in the Colombeau algebra
Copyright policy )The ultrarelativistic Reissner–Nordstro/m field in the Colombeau algebra
The electromagnetic field of the ultrarelativistic Reissner–Nordstro/m 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 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 avoid such situations when dealing with distributional valued field tensors.
- University of Vienna Austria
103019 Mathematical physics, Colombeau's theory of nonlinear generalized functions, FOS: Physical sciences, 101002 Analysis, ultrarelativistic Reissner-Nordström solution, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), distributional valued field tensors, General Relativity and Quantum Cosmology, 103028 Theory of relativity, Operations with distributions and generalized functions, 103028 Relativitätstheorie, Applications of functional analysis in quantum physics, electromagnetic field, Electromagnetic fields in general relativity and gravitational theory, 103019 Mathematische Physik, Electromagnetic interaction; quantum electrodynamics, \(\delta\)-like energy density, Mathematical Physics, vanishing field tensor
103019 Mathematical physics, Colombeau's theory of nonlinear generalized functions, FOS: Physical sciences, 101002 Analysis, ultrarelativistic Reissner-Nordström solution, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), distributional valued field tensors, General Relativity and Quantum Cosmology, 103028 Theory of relativity, Operations with distributions and generalized functions, 103028 Relativitätstheorie, Applications of functional analysis in quantum physics, electromagnetic field, Electromagnetic fields in general relativity and gravitational theory, 103019 Mathematische Physik, Electromagnetic interaction; quantum electrodynamics, \(\delta\)-like energy density, Mathematical Physics, vanishing field tensor
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