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

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

2009-11-02

arxiv.org/abs/0911.0241v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Proceedings of 'Invisible Universe International Conference', Paris, June 29- July 3, 2009 ; 5pp, 4 figs

Scientific paper

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 Lema\^itre-Tolman-Bondi dust models with a cosmological constant (a $\Lambda$-CDM model) as an example of our results.

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