A note on the electromagnetic irradiation in a holed spatial region -- a space-time approach
Luiz C L Botelho
TL;DR
This paper investigates how the topological features of a multi-connected space-time with holes influence electromagnetic irradiation solutions, using a space-time approach and exploring various mathematical frameworks.
Contribution
It introduces a space-time approach to analyze electromagnetic irradiation in complex topologies, emphasizing the role of homological properties.
Findings
Topological properties affect electromagnetic solution structures.
Different mathematical frameworks provide complementary insights.
The study highlights the importance of topology in electromagnetic problems.
Abstract
We study the role of the topological homological property of a space-time with holes (a multiple connected manifold) on the formal solutions of the electromagnetic irradiation problem taking place on theses "holed" space-times. On three appendixes, additional to the bulk section 1, we also present important studies on this irradiation problem, now on others mathematical frameworks .
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