Abstract
In an external gravitational field of the charged black hole with one horizon the complex
scalar field is considered. By means of appropriate selection of the coefficients in the initial
equation of a scalar field it is led to the generalized equation of hyper geometrical type,
then to a canonical form of this equation, representing degeneration of the hyper geometrical
equation. Solving this equation which satisfies the requirements of limitation, is Laguerres
polynomial with a corresponding spectrum of special values. On the basis of this spectrum
expression for masses of the charged and neutral scalar particles is received.
As the charged astrophysical object will usually quickly be neutralized by surrounding
plasma it is considered, that the charged black holes do not represent the big interest from the
astrophysical point of view [1]. However, as it is marked by Chandrasekhar [2], the studying
of Reisner-Nordstrom solution describing charged black holes, allows understanding more
deeply properties of space-time in extreme conditions.
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