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arXiv · 0908.3320

Embedding Versus Immersion in General Relativity

Edmundo M. Monte
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Abstract

We briefly discuss the concepts of immersion and embedding of space-times in higher-dimensional spaces. We revisit the classical work by Kasner in which he constructs a model of immersion of the Schwarzschild exterior solution into a six-dimensional pseudo-Euclidean manifold. We show that, from a physical point of view, this model is not entirely satisfactory since the causal structure of the immersed space-time is not preserved by the immersion.

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Edmundo M. Monte. 2009-08-23. Embedding Versus Immersion in General Relativity. https://doi.org/10.1142/s0217751x09044887

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