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  • 2022SpasovaMScbyResearch

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Degrees of Freedom in a Multipole Expansion of an Electromagnetic Current Over a Worldline

Research output: ThesisMaster's Thesis

  • Vanya Spasova
Publication date27/06/2022
Number of pages51
QualificationMasters by Research
Awarding Institution
  • Lancaster University
<mark>Original language</mark>English


We are investigating the free components of an electromagnetic current,
which we describe as a De Rham current over an arbitrary worldline on an
arbitrary spacetime MST . These calculations are an extension of a previous
research done on dipoles and quadrupoles, in which they are described in
a metric-free manner. In this thesis, we consider an adapted coordinate
system to define the free components of an electromagnetic distribution
over an arbitrary worldline and extend the previous work done by going
up to the octupole order of the electromagnetic current expansion. Using
the symmetries of the components found in the calculations, we derive a
generalized expression for the number of free components of any 2^k-tupole current, which satisfies the equation which leads to conservation of charge, dJ = 0.