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THE GREEN FUNCTION OF THE KLEIN–GORDON EQUATION IN BLACK-HOLE COORDINATES

JOSE L. MARTINEZ-MORALES

National Autonomous University of Mexico, A.P. 273, Admin. De corers #3, C.P. 62251 Cuernavaca, MO, Mexico

https://doi.org/10.1142/S0218271812500198Cited by:0 (Source: Crossref)

Abstract

The Green function of the Klein–Gordon equation in black-hole coordinates is calculated. This function is a sum on the harmonic modes of the sphere. The first term is a double integration on the spectrum of energy, and the momentum of the particle. Far from the horizon, the double integration is approximated by an integration on a line defined by the relation of energy and momentum of a free particle. Assumptions of time-independence and radial symmetry are made.

Keywords:

PACS: 11.10.Kk

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