MG11 |
Participant |
Stolin, Oldrich | |
Institution |
- Na Rybnicku 1 - Opava - Czech Republic - CZECH REPUBLIC | |
Session |
Talk |
Abstract |
GT6 |
Symmetry factorization of Einstein equations with cosmological constant |
We perform symmetry analysis of the Einstein equations with cosmological constant ?, admitting two commuting Killing vectors that are orthogonal to a foliation by 2-dimensional leaves. In case of ? = 0 the equations reduce to the well-understood Ernst equation; therefore we concentrate on the case ? 0. As the main result, we obtained the factorization of these equations with respect to a maximal subgroup of codimension 1; this solves the problem of geometrical equivalence of solutions. We have also identified several geometrically motivated subcases when the equations reduce to ODEs. |