A (giant) void is not mandatory to explain away dark energy with a Lemaitre-Tolman model

作者：Celerier M N^*; Bolejko K; Krasinski A

来源：Astronomy & Astrophysics, 2010, 518: A21.

DOI：10.1051/0004-6361/200913581

• cosmology: dark energy
• cosmology: miscellaneous

Context. Lemaitre-Tolman (L-T) toy models with a central observer have been used to study the effect of large scale inhomogeneities on the SN Ia dimming. Claims that a giant void is mandatory to explain away dark energy in this framework are currently dominating.
Aims. Our aim is to show that L-T models exist that reproduce a few features of the ACDM model, but do not contain the giant cosmic void.
Methods. We propose to use two sets of data - the angular diameter distance together with the redshift-space mass-density and the angular diameter distance together with the expansion rate - both defined on the past null cone as functions of the redshift. We assume that these functions are of the same form as in the ACDM model. Using the Mustapha-Hellaby-Ellis algorithm, we numerically transform these initial data into the usual two L-T arbitrary functions and solve the evolution equation to calculate the mass distribution in spacetime.
Results. For both models, we find that the current density profile does not exhibit a giant void, but rather a giant hump. However, this hump is not directly observable, since it is in a spacelike relation to a present observer.
Conclusions. The alleged existence of the giant void was a consequence of the L-T models used earlier because their generality was limited a priori by needless simplifying assumptions, like, for example, the bang-time function being constant. Instead, one can feed any mass distribution or expansion rate history on the past light cone as initial data to the L-T evolution equation. When a fully general L-T metric is used, the giant void is not implied.

• 出版日期2010-8