Geodesic
Wave packet dynamics in the vicinity of black hole "apparent horizon"
Matematičeskoe modelirovanie, Tome 31 (2019) no. 5, pp. 103-120

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : Heun's equation
Keywords: hypergeometric equation, critical point, event horizon, wave packet, semiclassical approximation. 
@article{MM_2019_31_5_a6,
     author = {N. N. Fimin and V. M. Chechetkin and Yu. N. Orlov},
     title = {Wave packet dynamics in the vicinity of black hole "apparent horizon"},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {103--120},
     publisher = {mathdoc},
     volume = {31},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2019_31_5_a6/}
}
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N. N. Fimin; V. M. Chechetkin; Yu. N. Orlov. Wave packet dynamics in the vicinity of black hole "apparent horizon". Matematičeskoe modelirovanie, Tome 31 (2019) no. 5, pp. 103-120. http://geodesic.mathdoc.fr/item/MM_2019_31_5_a6/