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Mathematical equation used to find exact solutions of equations in the general theory of relativity From Wikipedia, the free encyclopedia
In mathematics, the Ernst equation[1] is an integrable non-linear partial differential equation, named after the American physicist Frederick J. Ernst .[2]
The equation reads:
For its Lax pair and other features see e.g. [3][4] and references therein.
The Ernst equation is employed in order to produce the exact solutions of the Einstein's equations in the general theory of relativity.
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