Minimal closed set of observables in the theory of cosmological perturbations. IV. The anisotropic paradigm

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Gravitational Waves: Theory, Post-Newtonian Approximation, Perturbation Theory, Related Approximations, Physics Of Black Holes

Scientific paper

Following the analysis started in the Friedmann-Robertson-Walker framework, we apply the method of constructing a minimal closed set of gauge-independent observables to Kasner universes, which constitute a paradigm of type Bianchi-type I anisotropic spacetimes. An adequate basis is built for this specific background, and subsequently employed in a dynamical system that is written in the framework of the quasi-Maxwellian equations. It is then found that the method can be carried out to its end and a closed dynamical system obtained. All three types of perturbation are presented and discussed in the same way, but the scalar perturbation case is only partially solved.

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