The Method of Comparison Equations for Schwarzschild Black Holes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, added figures. Version to appear in PRD

Scientific paper

10.1103/PhysRevD.74.085005

We employ the method of comparison equations to study the propagation of a massless minimally coupled scalar field on the Schwarzschild background. In particular, we show that this method allows us to obtain explicit approximate expressions for the radial modes with energy below the peak of the effective potential which are fairly accurate over the whole region outside the horizon. This case can be of particular interest, for example, for the problem of black hole evaporation.

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