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arXiv · hep-th/0401017

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

Rossen I. Ivanov·Emil M. Prodanov
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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.

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Rossen I. Ivanov, Emil M. Prodanov. 2004-01-05. Riemann Tensor of the Ambient Universe, the Dilaton and the Newton's Constant. https://doi.org/10.1103/physrevd.70.044013

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