Embedding the Schwarzschild Ideal Fluid Metric

Details Embedding the Schwarzschild Ideal Fluid Metric Embedding the Schwarzschild Ideal Fluid Metric

2007-01-11

arxiv.org/abs/gr-qc/0701062v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 9 figures, minor correction

Scientific paper

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.

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