Structure and stability of the Lukash plane-wave spacetime

Details Structure and stability of the Lukash plane-wave spacetime Structure and stability of the Lukash plane-wave spacetime

2004-11-15

arxiv.org/abs/gr-qc/0411070v2

Class.Quant.Grav. 22 (2005) 825-840

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revised version, references added. To appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/22/5/005

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

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