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Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole
Boundary value problems black hole axisymmetric Einstein equations
2010/4/2
We solve a class of boundary value problems for the stationary axisymmetric Einstein equations corresponding to a disk of dust rotating uniformly around a central black hole. The solutions are given e...
Boundary value problems for the stationary axisymmetric Einstein equations: a rotating disk
Einsteins equations boundary-value problem integrable system rotating disk
2010/4/7
The stationary, axisymmetric reduction of the vacuum Einstein equations, the so-called Ernst equation, is an integrable nonlinear PDE in two dimensions. There now exists a general method for analyzing...