J
2019
Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws
SERGYEYEV, Artur and Iosif S. KRASIL'SHCHIK
Basic information
Original name
Integrability of Anti-Self-Dual Vacuum Einstein Equations with Nonzero Cosmological Constant: An Infinite Hierarchy of Nonlocal Conservation Laws
Authors
SERGYEYEV, Artur (804 Ukraine, guarantor, belonging to the institution) and Iosif S. KRASIL'SHCHIK (643 Russian Federation)
Edition
Annales Henri Poincaré, Cham, Switzerland, Springer International Publishing AG, 2019, 1424-0637
Other information
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Switzerland
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 1.489
RIV identification code
RIV/47813059:19610/19:A0000046
Organization unit
Mathematical Institute in Opava
EID Scopus
2-s2.0-85068155523
Keywords (in Czech)
Przanowského rovnice; laxovské representace; zákony zachování; kosmologická konstanta; gravitace
Keywords in English
Przanowski equation; Lax representations; conservation laws; cosmological constant; gravity
Tags
International impact, Reviewed
Links
GBP201/12/G028, research and development project.
In the original language
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.
In Czech
Uvádíme nekonečnou hierarchii nelokálních zákonů zachování pro Przanowského rovnici, integrabilní PDR druhého řádu lokálně ekvivalentní s antisamoduálními Einsteinovými rovnicemi ve vakuu s nenulovou kosmologickou konstantou. Zmíněná hierarchie byla získána s využitím neisospektrální laxovské representace pro zkoumanou rovnici. Jako vedlejší důsledek jsme získali nekonečněrozměrné diferenciální nakrytí nad Przanowského rovnicí.
Displayed: 31/10/2025 15:51