Seminarium Teorii Względności i Grawitacji

Hopfions are a family of `solitonary’ field solutions which have non-trivial topologicalstructure. I will focus on two physical applications of Hopfions: electromagnetism and lineargravitation. I will show that electromagnetic (or linearized gravity) field can be quasi-locally describedin terms of complex scalar field. New definition of topological charge for linearized gravity will bepresented. Using Hopfion solution, I will discuss problem of energy in linearized gravitation. The talkis based on arXiv:1802.01467 [gr-qc].