Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-06-03
Mod.Phys.Lett. A21 (2006) 1737-1748
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, contracted version to appear in MPLA
Scientific paper
10.1142/S0217732306021050
We study the wave equation for a massive scalar in three-dimensional AdS-black hole spacetimes to understand the unitarity issues in a semiclassical way. Here we introduce four interesting spacetimes: the non-rotating BTZ black hole (NBTZ), pure AdS spacetime (PADS), massless BTZ black hole (MBTZ), and extremal BTZ black hole (EBTZ). Our method is based on the potential analysis and solving the wave equation to find the condition for the frequency $\omega$ exactly. In the NBTZ case, one finds the quasinormal (complex and discrete) modes which signals for a non-unitary evolution. Real and discrete modes are found for the PADS case, which means that it is unitary obviously. On the other hand, we find real and continuous modes for the two extremal black holes of MBTZ and EBTZ. It suggests that these could be candidates for the unitary system.
Lee Hyun Woo
Myung Yun Soo
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