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Título

Spherically symmetric models with pressure: separating expansion from contraction and generalizing TOV condition

AutorMimoso, José Pedro; Le Delliou, Morgan ; Mena, Filipe C.
Fecha de publicación8-feb-2010
ResumenWe investigate spherically symmetric perfect fluid spacetimes and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We perform a 3+1 splitting and obtain gauge invariant conditions relating the intrinsic spatial curvature of the shells to the ADM mass and to a function of the pressure which we introduce and that generalises the Tolman-Oppenheimer-Volkoff equilibrium condition. We analyse the particular cases of the Lema\^itre-Tolman-Bondi dust models with a cosmological constant as an example of a $\Lambda$-CDM model and its generalization to contain a central perfect fluid core. These models provide simple, but physically interesting illustrations of our results.
Descripción16 pages, 9 figures, 2 appendix.-- PACS numbers: 98.80.-k, 98.80.Cq, 98.80.Jk, 95.30.Sf, 04.40.Nr, 04.20.Jb
Versión del editorhttp://arxiv.org/abs/0910.5755
URIhttp://hdl.handle.net/10261/20831
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