Ernst equation

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In mathematics, the Ernst equation[1] is an integrable non-linear partial differential equation, named after the American physicist Template:Ill.[2]

The Ernst equation

The equation reads: ℜ(u)(urr+ur/r+uzz)=(ur)2+(uz)2.

where ℜ(u) is the real part of u. For its Lax pair and other features see e.g. [3][4] and references therein.

Usage

The Ernst equation is employed in order to produce exact solutions of the Einstein's equations in the general theory of relativity.

References

  1. ↑ Weisstein, Eric W, Ernst equation, MathWorld--A Wolfram Web.
  2. ↑ Script error: No such module "citation/CS1".
  3. ↑ Script error: No such module "Citation/CS1".
  4. ↑ Script error: No such module "citation/CS1".

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