Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An ...

@article{32744,
   author = {Sergyeyev, Artur and Krasil'shchik, Iosif S.},
   article_location = {Cham, Switzerland},
   article_number = {8},
   doi = {http://dx.doi.org/10.1007/s00023-019-00816-0},
   keywords = {Przanowski equation; Lax representations; conservation laws; cosmological constant; gravity},
   language = {eng},
   issn = {1424-0637},
   journal = {Annales Henri Poincaré},
   title = {Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws},
   url = {https://link.springer.com/article/10.1007%2Fs00023-019-00816-0},
   volume = {20},
   year = {2019}
}

TY  - JOUR
ID  - 32744
AU  - Sergyeyev, Artur - Krasil'shchik, Iosif S.
PY  - 2019
TI  - Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws
JF  - Annales Henri Poincaré
VL  - 20
IS  - 8
SP  - 2699-2715
EP  - 2699-2715
PB  - Springer International Publishing AG
SN  - 14240637
KW  - Przanowski equation
KW  - Lax representations
KW  - conservation laws
KW  - cosmological constant
KW  - gravity
UR  - https://link.springer.com/article/10.1007%2Fs00023-019-00816-0
L2  - https://link.springer.com/article/10.1007%2Fs00023-019-00816-0
N2  - We present an infinite hierarchy of nonlocal conservation laws for the Przanowski equation, an integrable second-order PDE locally equivalent to anti-self-dual vacuum Einstein equations with nonzero cosmological constant. The hierarchy in question is constructed using a nonisospectral Lax pair for the equation under study. As a by product, we obtain an infinite-dimensional differential covering over the Przanowski equation.
ER  - 

SERGYEYEV, Artur and Iosif S. KRASIL'SHCHIK. Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws. \textit{Annales Henri Poincaré}. Cham, Switzerland: Springer International Publishing AG, 2019, vol.~20, No~8, p.~2699-2715. ISSN~1424-0637. Available from: https://dx.doi.org/10.1007/s00023-019-00816-0.