Integrability and Einstein's equations

N. Woodhouse

Banach Center Publications (1997)

  • Volume: 41, Issue: 1, page 221-232
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Woodhouse, N.. "Integrability and Einstein's equations." Banach Center Publications 41.1 (1997): 221-232. <http://eudml.org/doc/252252>.

@article{Woodhouse1997,
abstract = {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.},
author = {Woodhouse, N.},
journal = {Banach Center Publications},
keywords = {integrability; self-duality; Einstein's equations; Yang-Mills equations; twistor methods; applications in relativity},
language = {eng},
number = {1},
pages = {221-232},
title = {Integrability and Einstein's equations},
url = {http://eudml.org/doc/252252},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Woodhouse, N.
TI - Integrability and Einstein's equations
JO - Banach Center Publications
PY - 1997
VL - 41
IS - 1
SP - 221
EP - 232
AB - 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.
LA - eng
KW - integrability; self-duality; Einstein's equations; Yang-Mills equations; twistor methods; applications in relativity
UR - http://eudml.org/doc/252252
ER -

References

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