A regular, two-parameter Petrov type D vacuum spacetime is constructed from a Hopf-fibration-derived null vector in Kerr-Schild form.
Simple description of generalized electromagnetic and gravitational hopfions
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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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Exact vacuum solution with Hopf structure in general relativity
A regular, two-parameter Petrov type D vacuum spacetime is constructed from a Hopf-fibration-derived null vector in Kerr-Schild form.