Classification of General Relativistic World Models

Stabell, R.; Refsdal, S.

doi:10.1093/mnras/132.2.379

Cited by 65 publications

(56 citation statements)

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“…Several authors have addressed this problem. Stabell & Refsdal [1] investigated the FriedmannLemaître dust models, and a generalization of their results to general equation of state appear in [2,3]. The examination of Bianchi models with two-component fluids by Coley & Wainwright [4] contain the cosmological constant as a special case.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous cosmologies with a cosmological constant

1999

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Section: Introductionmentioning

confidence: 99%

Homogeneous cosmologies with a cosmological constant

1999

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“…Solutions with at most one boundary are well known from the classical dust models with Einsteins cosmological constant Λ and can be found in Stabell & Refsdal (1966).…”

Section: Basic Solution Typesmentioning

confidence: 99%

“…The variety of general-relativistic CP world models (CP=cosmological principle which requires homogeneity and isotropy after averaging on suitable scales; we require exact homogeneity and isotropy for the mathematical CP models) including the Λ-term and non-relativistic incoherent, comoving (i.e. with pressure P = 0) matter (so-called dust) was classified using different parametrizations by Robertson (1933), Stabell & Refsdal (1966) and Carroll et al (1992). From the seventies till the nineties, a widely followed assumption was to set Λ = 0, partly promoted by the inability of current quantum field theory to predict a realistic value of Λ (e.g.…”

Section: Introductionmentioning

confidence: 99%

Classification of multifluid CP world models

Thomas

Schulz

2001

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Abstract. Various classification schemes exist for homogeneous and isotropic (CP) world models, which include pressureless matter (so-called dust) and Einstein's cosmological constant Λ. We here classify the solutions of more general world models consisting of up to four noninteracting fluids, each with pressure P j , energy density j and an equation of stateIn addition to repulsive fluids with negative pressure and positive energy density, which generalize the classical repulsive (positive) Λ component, we consider fluids with negative energy density as well. The latter generalize a negative Λ component. This renders possible new types of models that do not occur among the classical classifications of world models. Singularity-free periodic solutions as well as further 'hill-type', 'hollow-type' and 'shiftingtype' models are feasible.However, if one only allows for three components (dust, radiation and one repulsive component) in a spatially flat universe the repulsive classical Λ fluid (with Λ > 0) tends to yield the smoothest fits of the Supernova Ia data from Perlmutter et al. (1999). Adopting the SN Ia constraints, exotic negative energy density components can be fittingly included only if the universe consists of four or more fluids.

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“…A detailed analysis of the dynamical systems corresponding to a Bianchi type-I anisotropic universe filled with a cosmological constant and a fluid with bulk viscosity was realized in [14]. Anisotropic universes of this type filled with perfect fluid matter with or without dissipative process and a cosmological constant has been investigated in [15][16][17][18][19][20]. A variable cosmological constant has also been taken into consideration in related research.…”

Section: Introductionmentioning

confidence: 99%

The Hubble IR cutoff in holographic ellipsoidal cosmologies

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2018

Eur. Phys. J. C

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It is well known that for spatially flat FRW cosmologies, the holographic dark energy disfavors the Hubble parameter as a candidate for the IR cutoff. For overcoming this problem, we explore the use of this cutoff in holographic ellipsoidal cosmological models, and derive the general ellipsoidal metric induced by a such holographic energy density. Despite the drawbacks that this cutoff presents in homogeneous and isotropic universes, based on this general metric, we developed a suitable ellipsoidal holographic cosmological model, filled with a dark matter and a dark energy components. At late time stages, the cosmic evolution is dominated by a holographic anisotropic dark energy with barotropic equations of state. The cosmologies expand in all directions in accelerated manner. Since the ellipsoidal cosmologies given here are not asymptotically FRW, the deviation from homogeneity and isotropy of the universe on large cosmological scales remains constant during all cosmic evolution. This feature allows the studied holographic ellipsoidal cosmologies to be ruled by an equation of state ω = p/ρ, whose range belongs to quintessence or even phantom matter.

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Classification of General Relativistic World Models

Cited by 65 publications

References 0 publications

Homogeneous cosmologies with a cosmological constant

Homogeneous cosmologies with a cosmological constant

Classification of multifluid CP world models

The Hubble IR cutoff in holographic ellipsoidal cosmologies

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