Large-scale evolution of a perturbed universe

Statistics – Computation

Scientific paper

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Computational Astrophysics, Galactic Evolution, Perturbation Theory, Gravitation Theory, Universe

Scientific paper

A straightforward derivation of the large-scale evolution of a perturbed Robertson-Walker space is presented. The origin of the Friedmann-like behavior of the perturbed model is clarified in a comoving gage, and thus in a corresponding gage-invariant formalism, using the covariant equations. Thus, when the imperfect fluid contributions are negligible, the large-scale perturbations in a nearly flat background evolve like separate Friedmann models. However, there exists a preferable gage-invariant quantity (zeta) which is conserved in the large scale even considering the background spatial curvature (for a nearly flat background model), the cosmological constant, and the anisotropic pressure. Its independence from the anisotropic pressure makes it possible to generalize zeta to a class of generalized gravity theories.

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