Phys. Rev. D 74, 085005 (2006) [7 pages]Method of comparison equations for Schwarzschild black holesReceived 3 August 2006; published 6 October 2006 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. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.085005
DOI:
10.1103/PhysRevD.74.085005
PACS:
11.15.Kc, 04.62.+v, 04.70.Dy
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