Asymptotic Behavior of Gravitational Waves on the Brane World
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Publication:4706111
DOI10.1143/PTP.109.61zbMATH Open1029.83012arXivhep-th/0210039OpenAlexW2161443390MaRDI QIDQ4706111
Publication date: 6 February 2004
Published in: Progress of Theoretical Physics (Search for Journal in Brave)
Abstract: 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 oinfty. 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.
Full work available at URL: https://arxiv.org/abs/hep-th/0210039
String and superstring theories in gravitational theory (83E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Gravitational waves (83C35)
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