Mapping and Embedding of Two Metrics Associated with Dark Matter, Dark Energy, and Ordinary Matter

A. C. V. V. de Siqueira

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arXiv · 1010.6230

Mapping and Embedding of Two Metrics Associated with Dark Matter, Dark Energy, and Ordinary Matter

A. C. V. V. de Siqueira

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Abstract

In this paper we build a mapping between two different metrics and embed them in a flat manifold. One of the metrics represents the ordinary matter, and the other describes the dark matter, the dark energy, and the particle-antiparticle asymmetry. The latter was obtained in a recent paper. For the mapping and embedding, we use two new formalisms developed and presented in two previous papers, Mapping Among Manifolds and, Conformal Form of Pseudo-Riemannian Metrics by Normal Coordinate Transformations, which was a generalization of the Cartan's approach of Riemannian normal coordinates.

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A. C. V. V. de Siqueira. 2010-10-29. Mapping and Embedding of Two Metrics Associated with Dark Matter, Dark Energy, and Ordinary Matter. https://arxiv.org/abs/1010.6230

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