Seminar of Department of Theoretical Physics - Marián Fecko (25.10.2022)

Tuesday 25.10.2022 at 14:00 hod., Lecture room M X

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Marián Fecko:
Galilean and Carrollian invariant Hodge star operators

Abstract: 
The Hodge star operator is naturally associated with metric tensor. It is therefore invariant, on Minkowski spacetime, with respect to Poincar\'e transformations and is routinely used to succinctly write down Poincar\'e invariant physics equations. In Galilean (Carrollian) spacetime, there is no Galilean (Carrollian) invariant metric tensor available. So the usual construction of Galilean (Carrollian) invariant Hodge stars does not work. It turns out, however, that there are useful analogs of the Hodge star operator. They may be used to write down Galilean (Carrollian) invariant physics equations. e.g. equations of Galilean (Carrollian) electrodynamics.

 

 

 

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