Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws-Reference-Cited by-同舟云学术

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Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws

Published:2019-06-24 Issue:8 Volume:20 Page:2699-2715
ISSN:1424-0637
Container-title:Annales Henri Poincaré
language:en
Short-container-title:Ann. Henri Poincaré

Author:

Krasil’shchik I.,Sergyeyev A.^ORCID

Funder

Ministerstvo Školství, Mládeže a Telovýchovy

Grantová Agentura Ceské Republiky

Russian Foundation for Basic Research

IUM-Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00023-019-00816-0.pdf

Reference37 articles.

1. Ablowitz, M., Clarkson, P.A.: Solitons, Nonlinear Evolution Equations and Inverse Scattering. Cambridge University Press, Cambridge (1991)

2. Alexandrov, S., Pioline, B., Vandoren, S.: Self-dual Einstein spaces, heavenly metrics, and twistors. J. Math. Phys. 51, 073510 (2010). arXiv:0912.3406

3. Atiyah, M., Dunajski, M., Mason, L.J.: Twistor theory at fifty: from contour integrals to twistor strings. Proc. R. Soc. A 473, no. 2206, art. 20170530 (2017)

4. Babelon, O., Bernard, D., Talon, M.: Introduction to Classical Integrable Systems. Cambridge University Press, Cambridge (2003)

5. Baran, H., Blaschke, P., Krasil’shchik, I.S., Marvan, M.: On symmetries of the Gibbons–Tsarev equation. J. Geom. Phys. (to appear). https://doi.org/10.1016/j.geomphys.2019.05.011 . arXiv:1811.08199

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