Recovery of the Linearized 4D AdS and dS Schwarzschild Metric in the Karch-Randall Braneworld
Abstract
We present a linearized treatment of the Karch-Randall braneworld where an AdS4 or dS4 brane is embedded in AdS5. We examine the quasi-zero graviton mode in detail and reproduce the graviton mass by elementary means for the AdS5 case. We also determine the axially symmetric, static excitations of the vacuum and demonstrate that they reproduce the 4D AdS4 and dS4 Schwarzschild metrics on the brane.
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