399 citations
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ205 papers
- Universidade Federal do ABCBR61 papers
- Czech Academy of Sciences, Astronomical InstituteCZ57 papers
- Nicolaus Copernicus Astronomical CenterPL55 papers
- Czech Technical University in PragueCZ40 papers
- University of GothenburgSE38 papers
- Peoples' Friendship University of RussiaRU36 papers
- Ulugh Beg Astronomical InstituteUZ34 papers
- Polish Academy of SciencesPL30 papers
- Centre National de la Recherche ScientifiqueFR27 papers
- Charles UniversityCZ27 papers
- Joint Institute for Nuclear ResearchRU26 papers
38 papers · 1 filter
Reductions of the universal hierarchy and rdDym equations and their symmetry properties
P. Holba, I. S. Krasil'shchik, O. I. Morozov +1
We consider the equations and that arise as reductions of the universal hierarchy and…
Note on the character of the generic rotating charged regular black holes in general relativity coupled to nonlinear electrodynamics
Bobir Toshmatov, Zdeněk Stuchlík, Bobomurat Ahmedov
We demonstrate that the generic charged rotating regular black hole solutions of general relativity coupled to non-linear electrodynamics, obtained by using the alternate Newman-Ja…
Deforming Lie algebras to Frobenius integrable non-autonomous Hamiltonian systems
Maciej Blaszak, Krzysztof Marciniak, Artur Sergyeyev
Motivated by the theory of Painlevé equations and associated hierarchies, we study non-autonomous Hamiltonian systems that are Frobenius integrable. We establish sufficient conditi…
Quasinormal modes of massive fermions in Kerr spacetime: Long-lived modes and the fine structure
Roman A. Konoplya, Alexander Zhidenko
Quasinormal modes of a massive Dirac field were calculated for various static black hole backgrounds with the help of the WKB formula. These estimations, however, are rough and val…
Particle collisions and optical effects in the mining Kerr--Newman spacetimes
Zdeněk Stuchlík, Martin Blaschke, Jan Schee
We study ultra-high-energy particle collisions and optical effects in the extraordinary class of mining braneworld Kerr-Newman (KN) naked singularity spacetimes, predicting extreme…
Integrable (3+1)-dimensional systems with rational Lax pairs
A. Sergyeyev
The search for new integrable (3+1)-dimensional partial differential systems is among the most important challenges in the modern integrability theory. It turns out that such a sys…