Structure and stability of the Lukash plane-wave spacetime

摘要: We study the vacuum, plane-wave Bianchi VIIh spacetimes described by Lukash metric. Combining covariant with orthonormal frame techniques, we describe these models in terms of their irreducible kinematical and geometrical quantities. This description is used to analytically response spacetime linear perturbations. find that stability vacuum solution depends crucially on background shear anisotropy. The stronger deviation from Hubble expansion, more likely overall instability model. Our analysis addresses rotational, Weyl curvature perturbations identifies conditions sufficient for growth distortions.