Publications at the Riemann Center
On rational electromagnetic fields
Abstract
We employ a recently developed method for constructing rational electromagnetic field configurations in Minkowski space to investigate several properties of these source-free finite-action Maxwell (“knot”) solutions. The construction takes place on the Penrose diagram but uses features of de Sitter space, in particular its isometry group. This admits a classification of all knot solutions in terms of S3 harmonics, labeled by a spin 2j∈N0, which in fact provides a complete “knot basis” of finite-action Maxwell fields. We display a j=1 example, compute the energy for arbitrary spin-j configurations, derive a linear relation between spin and helicity and characterize the subspace of null fields. Finally, we present an expression for the electromagnetic flux at null infinity and demonstrate its equality with the total energy.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Physics Letters, Section A: General, Atomic and Solid State Physics
- Volume
- 384
- ISSN
- 0375-9601
- Publication date
- 17.08.2020
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- General Physics and Astronomy
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.2002.01005 (Access:
Open
)
https://doi.org/10.1016/j.physleta.2020.126445 (Access: Closed )
