Riemann Tensor of the Ambient Universe, the Dilaton and the Newton's Constant
arXiv:hep-th/0401017 · doi:10.1103/PhysRevD.70.044013
Abstract
We investigate a four-dimensional world, embedded into a five-dimensional spacetime, and find the five-dimensional Riemann tensor via generalisation of the Gauss (--Codacci) equations. We then derive the generalised equations of the four-dimensional world and also show that the square of the dilaton field is equal to the Newton's constant. We find plausable constant and non-constant solutions for the dilaton.
arXiv comment5 pages, revtex
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