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Article Dans Une Revue Journal of Cosmology and Astroparticle Physics Année : 2010

$\Lambda$ effect in the cosmological expansion of voids

Résumé

The dynamical effect of the cosmological constant $\Lambda$ on a single spherical void evolving in a the universe is investigated within a non linear perturbation of Newton-Friedmann models. The void expands with a huge initial burst which freezes asymptotically with time up to matching Hubble flow. For $\Omega_{\circ}\sim 0.3$, $\Lambda$-effect on the kinematics intervenes significantly by amplifying the expansion rate at redshift $z\sim 1.7$. As a result, the size increases with the background density and with $\Lambda$, what interprets by the gravitational attraction of borders from outside regions and the gravitational repulsion of borders. The velocity flow within the void region depends solely on $\Lambda$, it reads $\vec{v}=\sqrt{\Lambda/3}\vec{r}$. Hence, the empty regions are swept out for spatially closed Friedmann models what provides us with a stability criterion.
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Dates et versions

hal-00087023 , version 1 (21-07-2006)
hal-00087023 , version 2 (07-08-2006)
hal-00087023 , version 3 (26-07-2010)
hal-00087023 , version 4 (02-10-2010)
hal-00087023 , version 5 (10-11-2010)

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Henri-Hugues Fliche, Roland Triay. $\Lambda$ effect in the cosmological expansion of voids. Journal of Cosmology and Astroparticle Physics, 2010, 2010 (11), pp.022 ⟨10.1088/1475-7516/2010/11/022⟩. ⟨hal-00087023v5⟩
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