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Matematicheskoe modelirovanie, 2019, Volume 31, Number 5, Pages 103–120
DOI: https://doi.org/10.1134/S0234087919050071 (Mi mm4075) 		 
Wave packet dynamics in the vicinity of black hole "apparent horizon"

N. N. Fimin, V. M. Chechetkin, Yu. N. Orlov

Keldysh Institute of Applied Mathematics of RAS
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DOI: https://doi.org/10.1134/S0234087919050071
Abstract: The properties of solutions of the Klein–Gordon equations for various metrics of the general theory of relativity are considered. It is shown that the presence of singular points of the metric leads to qualitative rearrangement solutions of this equation, and the desingularization of solutions by a choice of a new metric requires a priori assumptions that can lead to a formally mathematically correct, but paradoxical physical meaning, results.
Keywords: Heun's equation, hypergeometric equation, critical point, event horizon, wave packet, semiclassical approximation.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 28
Russian Foundation for Basic Research 16-02-00656_а
Received: 28.06.2018
Revised: 28.06.2018
Accepted: 10.09.2018
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 1, Pages 1–11
DOI: https://doi.org/10.1134/S2070048220010044
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. N. Fimin, V. M. Chechetkin, Yu. N. Orlov, “Wave packet dynamics in the vicinity of black hole "apparent horizon"”, Matem. Mod., 31:5 (2019), 103–120; Math. Models Comput. Simul., 12:1 (2020), 1–11
Citation in format AMSBIB
\Bibitem{FimCheOrl19}
\by N.~N.~Fimin, V.~M.~Chechetkin, Yu.~N.~Orlov
\paper Wave packet dynamics in the vicinity of black hole "apparent horizon"
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 5
\pages 103--120
\mathnet{http://mi.mathnet.ru/mm4075}
\crossref{https://doi.org/10.1134/S0234087919050071}
\elib{https://elibrary.ru/item.asp?id=37298185}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 1
\pages 1--11
\crossref{https://doi.org/10.1134/S2070048220010044}
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    		Математическое моделирование
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