Asymptotic Behavior of Gravitational Waves on the Brane World | Zendy

Youichi Murakami | Zendy

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Asymptotic Behavior of Gravitational Waves on the Brane World

Author(s) -

Youichi Murakami

Publication year - 2003

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.109.61

Subject(s) - physics , brane , gravitation , space (punctuation) , mathematical physics , gravitational wave , brane cosmology , spacetime , cone (formal languages) , theoretical physics , classical mechanics , quantum mechanics , linguistics , philosophy , algorithm , computer science

We consider the Cauchy problem of the gravitational wave with the initialdata distributed only around the brane in the one brane model of Randall andSundrum, and examine its behavior as t\to\infty. Then we find its leadingbehavior is t^{-6} unlike an ordinary flat 5-dimensional space-time. Such asignal shows that the Huygens principle is violated on the 4-dimensional braneworld even asymptotically and also shows the difference between compact andnon-compact brane worlds. Some comments are also given related to AdS/CFTcorrespondence.Comment: 16 pages, 1 figure, LaTeX2e(PTPTeX style). v2: typos correcte

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