From 2D Integrable Systems to Self-Dual Gravity
نویسنده
چکیده
We explain how to construct solutions to the self-dual Einstein vacuum equations from solutions of various two-dimensional integrable systems by exploiting the fact that the Lax formulations of both systems can be embedded in that of the self-dual Yang–Mills equations. We illustrate this by constructing explicit self-dual vacuum metrics on R × Σ, where Σ is a homogeneous space for a real subgroup of SL(2,C) associated with the two-dimensional system.
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