Localization Issues for Robertson-Walker Branes

Physics

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Cosmology, Dimensions, Gravitation, Gravitation Theory, Membrane Structures, Space-Time Functions, String Theory, Structural Analysis, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Strings And Branes

Scientific paper

We discuss some of the localization issues associated with the embedding of Robertson-Walker type Randall-Sundrum branes in a bulk AdS5. Specifically, we show that of the branes which are embeddable in AdS5 the geometry associated with M4 and dS4 branes warps away from the brane while that associated with AdS4 and RW branes of any spatial 3-curvature antiwarps away from the brane. We discuss the gravitational fluctuations around an M4 brane and analyze the specific role played by a delta function singularity at the brane. We show how a bulk sine-Gordon scalar field can without any fine-tuning naturally lead to localization of gravity around an M4 brane.

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