Speaker
Theodosios Christodoulakis
(National and Kapodistrian University of Athens)
Description
The automorphisms of the various Bianchi-type Lie algebras are seen to arise from particular g.c.t.'s of the base manifold. They can be used as Lie-point symmetries of the corresponding Einstein field equations, entailing a reduction of their order and ultimately leading to the entire solution space. The example of the Kasner-like (spatially flat) 4+1 geometry is presented.
Primary author
Theodosios Christodoulakis
(National and Kapodistrian University of Athens)