Result: The ultrarelativistic Reissner–Nordstro/m field in the Colombeau algebra: The ultrarelativistic Reissner-Nordstrøm field in the Colombeau algebra
Title:
The ultrarelativistic Reissner–Nordstro/m field in the Colombeau algebra: The ultrarelativistic Reissner-Nordstrøm field in the Colombeau algebra
Authors:
Source:
Journal of Mathematical Physics. 38:1614-1622
Publication Status:
Preprint
Publisher Information:
AIP Publishing, 1997.
Publication Year:
1997
Subject Terms:
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, 01 natural sciences, 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, 0103 physical sciences, 103019 Mathematische Physik, 0101 mathematics, Electromagnetic interaction, quantum electrodynamics, \(\delta\)-like energy density, Mathematical Physics, vanishing field tensor
Document Type:
Academic journal
Article<br />Other literature type
File Description:
application/xml
Language:
English
ISSN:
1089-7658
0022-2488
0022-2488
DOI:
10.1063/1.531819
DOI:
10.48550/arxiv.gr-qc/9606059
Access URL:
http://arxiv.org/pdf/gr-qc/9606059
http://arxiv.org/abs/gr-qc/9606059
https://ucrisportal.univie.ac.at/de/publications/dcd025d9-71f0-4a88-8888-0a5cec7672a9
https://core.ac.uk/display/2438268
http://scitation.aip.org/content/aip/journal/jmp/38/3/10.1063/1.531819
https://aip.scitation.org/doi/full/10.1063/1.531819
https://www.arxiv-vanity.com/papers/gr-qc/9606059/
http://ui.adsabs.harvard.edu/abs/1997JMP....38.1614S/abstract
https://arxiv.org/abs/gr-qc/9606059
https://arxiv.org/pdf/gr-qc/9606059v2
http://arxiv.org/abs/gr-qc/9606059
https://ucrisportal.univie.ac.at/de/publications/dcd025d9-71f0-4a88-8888-0a5cec7672a9
https://core.ac.uk/display/2438268
http://scitation.aip.org/content/aip/journal/jmp/38/3/10.1063/1.531819
https://aip.scitation.org/doi/full/10.1063/1.531819
https://www.arxiv-vanity.com/papers/gr-qc/9606059/
http://ui.adsabs.harvard.edu/abs/1997JMP....38.1614S/abstract
https://arxiv.org/abs/gr-qc/9606059
https://arxiv.org/pdf/gr-qc/9606059v2
Rights:
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....b085f57cd1badbb8fe2d8b889df0de6c
Database:
OpenAIRE
Further Information
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.