Eddington Coordinates

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

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

See also

• Black hole
• Schwarzschild metric
• Kruskal metric

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