Ernst equation

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In mathematics, the Ernst equation is the non-linear partial differential equation

$\displaystyle \Re(u)(u_{rr}+u_r/r+u_{zz}) = (u_r)^2+(u_z)^2.$

It is used to produce exact solutions of Einstein's equations.

[edit] References

Zwillinger, Daniel (1989), Handbook of differential equations, Boston, MA: Academic Press, MR 977062, ISBN 978-0-12-784390-2

Categories: Partial differential equations

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