Difference between AdS and dS spaces : wave equation approach
نویسنده
چکیده
We study the wave equation for a massive scalar field in three-dimensional AdS (anti de Sitter) and dS (de Sitter) spaces to find what is the difference and similarity between two spaces. Here the AdS space is provided by the BTZ black hole with J = 0. 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 in the scalar wave propagation between AdS and dS spaces is very interesting, because their global structures are similar to each other. ∗Email-address : [email protected] †Email-address : [email protected]
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