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Separating expansion from contraction: generalized TOV condition, LTB models with pressure and $Łambda$CDM

, , and . (2009)cite arxiv:0911.0241 Comment: Proceedings of 'Invisible Universe International Conference', Paris, June 29- July 3, 2009 ; 5pp, 4 figs.

Abstract

We discuss the existence of a dividing shell separating expanding and collapsing regions in spherically symmetric solutions with pressure. We obtain gauge invariant conditions relating not only the intrinsic spatial curvature of the shells to the ADM mass, but also a function of the pressure which we introduce that generalises the Tolman-Oppenheimer-Volkoff equilibrium condition, in the framework of a 3+1 spacetime splitting. We consider the particular case of a Lemaître-Tolman-Bondi dust models with a cosmological constant (a $Łambda$-CDM model) as an example of our results.

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Separating expansion from contraction: generalized TOV condition, LTB models with pressure and $\Lambda$CDM

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