Object picture of quasinormal ringing on the background of small Schwarzschild anti-de Sitter black holes - art. no. 124004

We investigate the evolution of a scalar field propagating in small Schwarz schild anti-de Sitter black holes. The imaginary part of the quasinormal fr equency decreases with the horizon size and the real part of the quasinorma l frequency keeps nearly as a constant, The object picture clarifies the qu estion about the quasinormal modes for small anti-de Sitter black holes. Th e dependence of the quasinormal modes on spacetime dimensions and the multi pole index for small anti-de Sitter black holes is also illustrated.