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 AdS_4 or dS_4 brane is embedded in AdS_5. We examine the quasi-zero graviton mode in detail and reproduce the graviton mass by elementary means for the AdS_5 case. We also determine the axially symmetric, static excitations of the vacuum and demonstrate that they reproduce the 4D AdS_4 and dS_4 Schwarzschild metrics on the brane.

Latex, 5 pages. Invited talk at the 8th Wigner Symposium, New York, SPIRES Conf C03/05/26