## Scattering of electromagnetic field by De Sitter-Schwarzschild black hole.(English)Zbl 0823.35162

Murthy, M. K. V. (ed.) et al., Nonlinear hyperbolic equations and field theory. Papers from a workshop on nonlinear hyperbolic equations held in Varenna, Italy, 1990. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 253, 23-35 (1992).
We investigate the electromagnetic field outside a spherical black-hole with mass $$m$$ in an asymptotic De Sitter spacetime with cosmological constant $$\Lambda>0$$, described by the De Sitter-Schwarzschild metric $ds^ 2= \alpha^ 2 dt^ 2- \alpha^{-2} dr^ 2- r^ 2 (d\theta^ 2+ \sin^ 2 \theta d\varphi^ 2),$ where the lapse function $$\alpha$$ is given by $$\alpha= (1-2m r^{-1}- \Lambda r^ 2/ 3)^{1/2}$$.
For the entire collection see [Zbl 0780.00036].

### MSC:

 35Q60 PDEs in connection with optics and electromagnetic theory 85A15 Galactic and stellar structure