1999/12/31 by Steven S. Gubser · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.63.084017
published as Phys.Rev. D63 (2001) 084017 · 27 pages, two figures, latex. v2: No log in first correction to Newton's law! Refs added, other minor improvements. v3: Refinements and further refs
arxiv created 2000/01/21 · arxiv updated 2009/11/30
The radiation-dominated k=0 FRW cosmology emerges as the induced metric on a codimension one hypersurface of constant extrinsic curvature in the five-dimensional AdS-Schwarzschild solution. That we should get FRW cosmology in this way is an expected result from AdS/CFT in light of recent comments regarding the coupling of gravity to "boundary" conformal field theories. I remark on how this calculation bears on the understanding of Randall and Sundrum's "alternative to compactification." A generalization of the AdS/CFT prescription for computing Green's functions is suggested, and it is shown how gravity emerges from it with a strength G4 = 2 G5/L. Some numerical bounds are set on the radius of curvature L of AdS5. One of them comes from estimating the rate of leakage of visible sector energy into the CFT. That rate is connected via a unitarity relation to deviations from Newton's force law at short distances. The best bound on L obtained in this paper comes from a match to the parameters of string theory. It is L < 1 nm if the string scale is 1 GeV. Higher string scales imply a tighter bound on L.