Embedding Versus Immersion in General Relativity

Details Embedding Versus Immersion in General Relativity Embedding Versus Immersion in General Relativity

2009-08-23

arxiv.org/abs/0908.3320v1

Int.J.Mod.Phys.A24:1501-1504,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1142/S0217751X09044887

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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