Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500146 | Journal of Geometry and Physics | 2017 | 22 Pages |
Abstract
Spaces equipped with two complementary (distinct) congruences of self-dual null strings and at least one congruence of anti-self-dual null strings are considered. It is shown that if such spaces are Einsteinian then the vacuum Einstein field equations can be reduced to a single nonlinear partial differential equation of the second order. Different forms of these equations are analyzed. Finally, several new explicit metrics of the para-Hermite and para-Kähler Einstein spaces with Îâ 0 are presented. Some relation of that metrics to a modern approach to mechanical issues is discussed.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Adam Chudecki,