Asymptotic Behavior of Gravitational Wave on the Brane World

Details Asymptotic Behavior of Gravitational Wave on the Brane World Asymptotic Behavior of Gravitational Wave on the Brane World

2002-10-04

arxiv.org/abs/hep-th/0210039v2

Prog.Theor.Phys.109:61-76,2003

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 1 figure, LaTeX2e(PTPTeX style). v2: typos corrected

Scientific paper

10.1143/PTP.109.61

We consider the Cauchy problem of the gravitational wave with the initial data distributed only around the brane in the one brane model of Randall and Sundrum, and examine its behavior as t\to\infty. Then we find its leading behavior is t^{-6} unlike an ordinary flat 5-dimensional space-time. Such a signal shows that the Huygens principle is violated on the 4-dimensional brane world even asymptotically and also shows the difference between compact and non-compact brane worlds. Some comments are also given related to AdS/CFT correspondence.

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