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Earnest Harrison

Publications and source records attributed to Earnest Harrison.

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Embedding the Schwarzschild Ideal Fluid Metric

Certain semi-Riemannian metrics can be decomposed into a Riemannian part and an isochronal part. The properties of such metrics are particularly easy to visualize in a coordinate-free way, using isometric embedding. We present such an isochronal, isometric embedding of the well known Schwarzschild ideal fluid metric in an attempt to see what is happening when the pressure becomes singular.

gr-qc

An Explicit Isochronal, Isometric Embedding

Certain semi-Riemannian metrics may be decomposed into a Riemannian part and an isochronal part. We use this idea and an idea of Kasner to construct a manifold in 6+1 Minkowski space with a well known metric. The full embedding we display is isochronal which simplifies visualizing the properties of the manifold.

gr-qc