Abstract

A few models in general relativity concerning to black holes are considered. We studied the Green function for locally close points in the Schwarzschild (symmetric non-rotating and uncharged black hole), Reissner-Nordström (charged non-rotating black hole), Schwarzschild-de Sitter (black hole with a positive cosmological constant), Reissner-Nordström-de Sitter (when a constant electric charge is added to the cosmological term), Hayward (spherically symmetric non-rotating uncharged black hole having no singularity), Bardeen (for spherically symmetric black hole being a source of electric field which does not have a singularity but have the event horizon) metrics. The consideration is based on the Hadamard-WKB method. The Padé approximation is used for the Green function construction.

Keywords: Green's function; black hole; Hadamard-WKB method.

MSC: 83C57, 35J08

DOI: 10.57016/MV-02DA8h74

Pages:  1--12