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We investigate the evolution of a scalar field propagating in small Schwarzschild anti--de Sitter black holes. The imaginary part of the quasinormal frequency decreases with the horizon size and the real part of the quasinormal frequency keeps nearly as a constant. The object picture clarifies the question about the quasinormal modes for small anti--de Sitter black holes. The dependence of the quasinormal modes on spacetime dimensions and the multipole index for small anti--de Sitter black holes is also illustrated.
Zhu et al. (Mon,) studied this question.
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