Simple description of generalized electromagnetic and gravitational hopfions

Abstract

The generalization of electromagnetic and gravitational hopfions is performed in terms of a complex scalar field. New definition of topological charge for linearized gravity is given. Quasi-local (super-)energy densities are compared for gravitational hopfion.

arXiv comment27 pages

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Cited by in corpus (6)

• Canonical Noether and the energy-momentum non-uniqueness problem in linearized gravity
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• Exact vacuum solution with Hopf structure in general relativity
• Gravitoelectromagnetic knot fields
• Helicity, Spin, and Infra-zilch of Light: a Lorentz Covariant Formulation
• Curvature and conformal curvature dynamics formalisms and their applications in linearized gravity