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Newton Law in DGP Brane-World with Semi-Infinite Extra Dimension

D. K. Park·S. Tamaryan·Yan-Gang Miao
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Abstract

Newton potential for DGP brane-world scenario is examined when the extra dimension is semi-infinite. The final form of the potential involves a self-adjoint extension parameter $α$, which plays a role of an additional mass (or distance) scale. The striking feature of Newton potential in this setup is that the potential behaves as seven-dimensional in long range when $α$ is nonzero. For small $α$ there is an intermediate range where the potential is five-dimensional. Five-dimensional Newton constant decreases with increase of $α$ from zero. In the short range the four-dimensional behavior is recovered. The physical implication of this result is discussed in the context of the accelerating behavior of universe.

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D. K. Park, S. Tamaryan, Yan-Gang Miao. 2003-09-07. Newton Law in DGP Brane-World with Semi-Infinite Extra Dimension. https://doi.org/10.1016/j.physletb.2003.10.058

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