Geodesic
Integrability and Einstein's equations
Banach Center Publications, Tome 41 (1997) no. 1, pp. 221-232
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1. Introduction. In recent years, there has been considerable interest in Oxford and elsewhere in the connections between Einstein's equations, the (anti-) self-dual Yang-Mills (SDYM) equations, and the theory of integrable systems. The common theme running through this work is that, to a greater or lesser extent, all three areas involve questions that can be addressed by twistor methods. In this paper, I shall review progress, with particular emphasis on the known and potential applications in relativity. Some of the results are well-established, others are more recent, and a few appear here for the first time. 
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N. Woodhouse. Integrability and Einstein's equations. Banach Center Publications, Tome 41 (1997) no. 1, pp. 221-232. doi: 10.4064/-41-1-221-232

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