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arXiv · hep-th/0304231

Difference between AdS and dS spaces: wave equation approach

Y. S. Myung·N. J. Kim
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Abstract

We study the wave equation for a massive scalar field in three-dimensional AdS-black hole and dS (de Sitter) spaces to find what is the difference and similarity between two spaces. Here the AdS-black hole is provided by the J=0 BTZ black hole. To investigate its event (cosmological) horizons, we compute the absorption cross section, quasinormal modes, and study the AdS(dS)/CFT correspondences. Although there remains an unclear point in defining the ingoing flux near infinity of the BTZ black hole, quasinormal modes are obtained and the AdS/CFT correspondence is confirmed. However, we do not find quasinormal modes and thus do not confirm the assumed dS/CFT correspondence. This difference between AdS-black hole and dS spaces is very interesting, because their global structures are similar to each other.

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Y. S. Myung, N. J. Kim. 2003-11-06. Difference between AdS and dS spaces: wave equation approach. https://doi.org/10.1088/0264-9381%2F21%2F1%2F005

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