Wave Packet Dynamics in the Vicinity of the Horizon of Events of a Black Hole

The properties of the 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 b...

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Bibliographic Details
Published inMathematical models and computer simulations Vol. 12; no. 1; pp. 1 - 11
Main Authors Fimin, N. N., Chechetkin, V. M., Orlov, Yu. N.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2020
Springer Nature B.V
Subjects
Black holes
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Relativity
Simulation and Modeling
critical point
event horizon
semiclassical approximation
Heun’s equation
hypergeometric equation
wave packet
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Summary:The properties of the 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 the choice of a new metric requires a priori assumptions that can lead to formally mathematically correct results, albeit, with paradoxical physical meanings.
ISSN:2070-0482
2070-0490
DOI:10.1134/S2070048220010044