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gr-qc2025
Periodic Kerr solution as an infinite soliton chain
Dmitry Korotkin, Javier Peraza
We combine numerical analysis with the inverse scattering method to study the periodic analog of Kerr solution. The periodic analog of the Schwarzschild solution is known to be reg…
gr-qc2025
Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods
Eddy B. de Leon. C. Klein, D. Korotkin
We present a numerical and analytical study of the so-called `toron' solution of the stationary axisymmetric Einstein equations in vacuum expressed in terms of elliptic functions.…
gr-qc2023
Integrability and Einstein's Equations
Dmitry Korotkin, Henning Samtleben
Integrable structures arise in general relativity when the spacetime possesses a pair of commuting Killing vectors admitting 2-spaces orthogonal to the group orbits. The physical i…