Riemann Tensor of the Ambient Universe, the Dilaton and the Newton's Constant

Details Riemann Tensor of the Ambient Universe, the Dilaton and the Newton's Constant Riemann Tensor of the Ambient Universe, the Dilaton and the Newton's Constant

2004-01-05

arxiv.org/abs/hep-th/0401017v1

Phys.Rev. D70 (2004) 044013

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, revtex

Scientific paper

10.1103/PhysRevD.70.044013

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.

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