Evolution of a massless scalar field in Reissner-Nordstrom anti-de Sitter spacetimes - art. no. 084001

We investigate the evolution of a scalar field propagating in Reissner-Nord strom anti-de Sitter spacetime. Because of the characteristic of spacetime geometry, the radiative tails associated with a massless scalar field propa gation have an oscillatory exponential decay. The object picture of the qua sinormal ringing has also been obtained. For small charges, the approach to thermal equilibrium is faster for larger charges. However, after the black -hole charge reaches a critical value, we get the opposite behavior for the imaginary frequencies of the quasinormal modes. Some possible explanations concerning the wiggle of the imaginary frequencies have been given. The pi cture of the quasinormal modes depending on the multipole index has also be en illustrated.