Dynamics and stability of the Godel universe

Details Dynamics and stability of the Godel universe Dynamics and stability of the Godel universe

2003-08-21

arxiv.org/abs/gr-qc/0308067v2

Class.Quant.Grav. 21 (2004) 1773-1790

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revised version, to match paper published in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/21/7/005

We use covariant techniques to describe the properties of the Godel universe and then consider its linear response to a variety of perturbations. Against matter aggregations, we find that the stability of the Godel model depends primarily upon the presence of gradients in the centrifugal energy, and secondarily on the equation of state of the fluid. The latter dictates the behaviour of the model when dealing with homogeneous perturbations. The vorticity of the perturbed Godel model is found to evolve as in almost-FRW spacetimes, with some additional directional effects due to shape distortions. We also consider gravitational-wave perturbations by investigating the evolution of the magnetic Weyl component. This tensor obeys a simple plane-wave equation, which argues for the neutral stability of the Godel model against linear gravity-wave distortions. The implications of the background rotation for scalar-field Godel cosmologies are also discussed.

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