12.2 Comparison with spatially homogeneous solutions

Due to Equation (52View Equation), it seems natural to say that the solution tends to a spatially homogeneous solution to the equations. However, this conclusion is strongly dependent on the norm chosen for measuring deviations from spatial homogeneity. In fact, when comparing the time derivatives, the situation is completely different;
Pt-−-⟨Pt⟩ ⟨Pt⟩

is generically unbounded to the future. In other words, with respect to this measure, the solution is far from being spatially homogeneous.


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"Cosmic Censorship for Gowdy Spacetimes"
Hans Ringström
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