Separating expansion from contraction in spherically symmetric models with a perfect fluid: Generalization of the Tolman-Oppenheimer-Volkoff condition and application to models with a cosmological constant

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.123514· OSTI ID:21408048

Mimoso, Jose P; Le Delliou, Morgan; Mena, Filipe C ^[1]

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1. Departamento de Fisica, Faculdade de Ciencias da Universidade de Lisboa, Centro de Astronomia e Astrofisica, Universidade de Lisboa, Avenida Gama Pinto 2, 1649-003 Lisboa (Portugal)

We 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 Misner-Sharp mass and to a function of the pressure that we introduce and that generalizes the Tolman-Oppenheimer-Volkoff equilibrium condition. We find that surfaces fulfilling those two conditions fit, locally, the requirements of a dividing shell, and we argue that cosmological initial conditions should allow its global validity. We analyze the particular cases of the Lemaitre-Tolman-Bondi dust models with a cosmological constant as an example of a cold dark matter model with a cosmological constant ({Lambda}-CDM model) and its generalization to contain a central perfect-fluid core. These models provide simple but physically interesting illustrations of our results.

• OSTI ID: 21408048
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
COSMOLOGICAL CONSTANT
EQUILIBRIUM
EXPANSION
FLUID FLOW
GAUGE INVARIANCE
IDEAL FLOW
INCOMPRESSIBLE FLOW
INVARIANCE PRINCIPLES
MASS
MATTER
NONLUMINOUS MATTER
SPACE-TIME
STABILITY
STEADY FLOW
SURFACES
SYMMETRY