On 4-dimensional cosmological models locally embedded in a 5-dimensional Ricci-flat space

A. G. Agnese; M. La Camera

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On 4-dimensional cosmological models locally embedded in a 5-dimensional Ricci-flat space

A. G. Agnese·M. La Camera

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Abstract

We employ a theorem due to Campbell to build some simple 4-dimensional cosmological models which originate from solutions describing waves propagating along the extra-dimension of a 5-dimensional Ricci-flat space. The dimensional reduction is performed in the Jordan frame according to the induced-matter theory of Wesson.

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A. G. Agnese, M. La Camera. 2000-02-07. On 4-dimensional cosmological models locally embedded in a 5-dimensional Ricci-flat space. https://arxiv.org/abs/gr-qc/0002028

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