Exact solution to Einstein's field equations
In general relativity, the Weyl–Lewis–Papapetrou coordinates are used in solutions to the vacuum region surrounding an axisymmetric distribution of mass–energy. They are named for Hermann Weyl, Thomas Lewis, and Achilles Papapetrou.
Details.
The square of the line element is of the form:
formula_1
where formula_2 are the cylindrical Weyl–Lewis–Papapetrou coordinates in formula_3-dimensional spacetime, and formula_4, formula_5, formula_6, and formula_7, are unknown functions of the spatial non-angular coordinates formula_8 and formula_9 only. Different authors define the functions of the coordinates differently.
References.
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