Some clarifications about spherically symmetric models of the Universe used to deal with the dark energy problem

Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics

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17 pages, no figure, section 3 modified, results of section 3.2 changed, sections 4.3 and 4.4 added, other minor changes and r

Scientific paper

During the last decade, a number of inhomogeneous cosmological models have been put forward to explain the observed dimming of the SNIa luminosity without resorting to dark energy. The simplest ones are spherically symmetric around the observer, mostly belonging to the Lema\^itre-Tolman class. Their use must be considered as a mere first step towards more sophisticated models. Spherical symmetry is but a mathematical simplification and one must consider such models as exhibiting an energy density smoothed out over angles around us, i.e. only the radial inhomogeneities are taken into account. However they have been taken to face value by some authors who tried to use them for purposes they were not supposed to be able to fulfill or to put them to the test as if they were to be viewed as achieved models for our observed Universe. We want here to set the record right about the way these kinds of models must be used in cosmology and to clarify wrong or vague statements which can be found in the literature.

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