Separating expansion from contraction and generalizing TOV condition in spherically symmetric models with pressure

Details Separating expansion from contraction and generalizing TOV condition in spherically symmetric models with pressure Separating expansion from contraction and generalizing TOV condition in spherically symmetric models with pressure

2009-03-26

arxiv.org/abs/0903.4651v1

AIP Conf.Proc.1122:316-319,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4pp, 1fig, AIP Conference: Proc. XXXI Spanish Relat. Meeting, ERE08, Salamanca, Spain, 15-19 Sept., 2008 Septembre, Salamanca,

Scientific paper

10.1063/1.3141309

We investigate spherically symmetric solutions with pressure and discuss the existence of a dividing shell separating expanding and collapsing regions. We perform a 3+1 splitting and 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. We consider the particular case of a Lema\^itre-Tolman dust models with a cosmological constant (a $\Lambda$-CDM model) as an example of our results.

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