Comment: Exact vacuum solution with Hopf structure in general relativity
Malcolm A.H. MacCallum
TL;DR
This paper clarifies that Harada's recently announced exact vacuum solution with Hopf structure in general relativity is actually isometric to a known NUT solution, providing insight into its geometric properties.
Contribution
It identifies Harada's solution as isometric to a known NUT solution, clarifying its geometric and physical interpretation.
Findings
Harada's solution is isometric to a NUT solution
The solution exhibits Hopf structure in general relativity
Clarifies the geometric nature of the solution
Abstract
Harada's recently announced Kerr-Schild solution of Einstein's equations in general relativity [Phys. Rev. D {\bf 112}, 024020 92025)] is identified as isometric with one of the well-known NUT solutions.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Nonlinear Waves and Solitons · Quantum and Classical Electrodynamics