1205.3929 (Ran Li)

Superradiant instability of charged massive scalar field in
Kerr-Newman-anti-de Sitter black hole    [PDF]

Ran Li

We study the superradiance instability of charged massive scalar field in the background of Kerr-Newman-anti-de Sitter black hole. By employing the matching technique to solve the Klein-Gordon equation analytically, the complex parts of quasinormal frequencies are shown to be positive in the regime of superradiance. Because the calculation is performed in the approximation of small black hole, the result indicates that the small Kerr-Newman-anti-de Sitter black hole is unstable against the charged massive scalar perturbation.

View original: http://arxiv.org/abs/1205.3929