Evolving of a massless scalar field in Reissner--Nordström Anti--de Sitter spacetimes

Details Evolving of a massless scalar field in Reissner--Nordström Anti--de Sitter spacetimes Evolving of a massless scalar field in Reissner--Nordström Anti--de Sitter spacetimes

2000-05-16

arxiv.org/abs/hep-th/0005143v2

Phys.Rev. D63 (2001) 084001

Physics

High Energy Physics

High Energy Physics - Theory

version published in Physical Review D

Scientific paper

10.1103/PhysRevD.63.084001

We investigate the evolution of a scalar field propagating in Reissner--Nordstr\"{o}m Anti--de Sitter spacetime. Due to the characteristic of spacetime geometry, the radiative tails associated with a massless scalar field propagation have an oscillatory exponential decay. The object--picture of the quasinormal 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 picture of the quasinormal modes depending on the multipole index has also been illustrated.

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