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Eddington coordinates

In general relativity, the Eddington coordinates are given by

ds^2=\left(1-\frac{2\alpha}{r}\right)\,dt^2-\frac{4\alpha}{r}\,dt\,dr-\left(1+\frac{2\alpha}{r}\right)\,dr^2-r^2\,d\Omega^2

where

d\Omega^2\equiv d\theta^2+\sin^2\theta\,d\phi^2.

The advantage of this coordinate system is that it explicitly shows that the coordinate singularity in the Schwarzschild coordinates is precisely that!

See also

Science Fair Project Encyclopedia Contents Page
10-26-2009 08:16:03
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