Integrability and Einstein’s equations. (English) Zbl 0891.35158
Chruściel, Piotr T. (ed.), Mathematics of gravitation. Part I: Lorentzian geometry and Einstein equations. Proceedings of the workshop on mathematical aspects of theories of gravitation, Warsaw, Poland, February 29–March 30, 1996. Warsaw: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 41(1), 221-232 (1997).
In recent years, there has been considerable interest in the connections between Einstein’s equations, the (anti-) self-dual Yang-Mills equations, and the theory of integrable systems. All three areas involve questions that can be addressed by twistor methods. In this paper, I review progress, with particular emphasis on the known and potential applications in relativity.
For the entire collection see [Zbl 0880.00054].
For the entire collection see [Zbl 0880.00054].
MSC:
| 35Q75 | PDEs in connection with relativity and gravitational theory |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
