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Simple description of generalized electromagnetic and gravitational hopfions

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arxiv 1802.01467 v1 pith:JNSSOV4Y submitted 2018-02-05 gr-qc

Tomasz Smo{l}ka , Jacek Jezierski This is my paper · ORCID
classification gr-qc
keywords gravitationalelectromagnetichopfionschargecomparedcomplexdefinitiondensities
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exact vacuum solution with Hopf structure in general relativity

    gr-qc 2025-06 conditional novelty 7.0 of 10

    A regular, two-parameter Petrov type D vacuum spacetime is constructed from a Hopf-fibration-derived null vector in Kerr-Schild form.

  2. Curvature and conformal curvature dynamics formalisms and their applications in linearized gravity

    gr-qc 2025-02 conditional novelty 5.0 of 10

    The paper rewrites curvature dynamics in spinor and helicity formalisms and proves that a curvature-only energy/momentum expression for linearized gravitational waves matches the Landau-Lifshitz pseudotensor when the ...

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