Asymptotic isotropization in inhomogeneous cosmology

@article{Lim2004AsymptoticII,
  title={Asymptotic isotropization in inhomogeneous cosmology},
  author={Woei Chet Lim and Henk van Elst and Claes Uggla and John Wainwright},
  journal={Physical Review D},
  year={2004},
  volume={69}
}
In this paper we investigate asymptotic isotropization. We derive the asymptotic dynamics of spatially inhomogeneous cosmological models with a perfect fluid matter source and a positive cosmological constant near the de Sitter equilibrium state at late times, and near the flat FL equilibrium state at early times. Our results show that there exists an open set of solutions approaching the de Sitter state at late times, consistent with the cosmic no-hair conjecture. On the other hand, solutions… 
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References

SHOWING 1-10 OF 42 REFERENCES
Cosmic no-hair: nonlinear asymptotic stability of de Sitter universe
We study the asymptotic stability of de Sitter spacetime with respect to nonlinear perturbations, by considering second-order perturbations of a flat Friedmann–Lemaitre–Robertson–Walker universe with
Late-time asymptotic dynamics of Bianchi VIII cosmologies
In this paper we give, for the first time, a complete description of the late-time evolution of non-tilted spatially homogeneous cosmologies of Bianchi type VIII. The source is assumed to be a
Isotropization of two-component fluids
We consider the problem of late-time isotropization in spatially homogeneous but anisotropic cosmological models when the source of the gravitational field consists of two noninteracting perfect
Velocity‐Dominated Singularities in Irrotational Dust Cosmologies
We consider irrotational dust solutions of the Einstein equations. We define ``velocity‐dominated'' singularities of these solutions. We show that a velocity‐dominated singularity can be considered
A Dynamical Systems Approach to Geodesics in Bianchi Cosmologies
To understand the observational properties of cosmological models, in particular, the temperature of the cosmic microwave background radiation, it is necessary to study their null geodesics.
The Past attractor in inhomogeneous cosmology
We present a general framework for analyzing spatially inhomogeneous cosmological dynamics. It employs Hubble-normalized scale-invariant variables which are defined within the orthonormal frame
Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant
The behaviour of expanding cosmological models with collisionless matter and a positive cosmological constant is analysed. It is shown that under the assumption of plane or hyperbolic symmetry the
Isotropic singularities in cosmological models
Motivated by the ideas of quiescent cosmology and Penrose's Weyl tensor hypothesis concerning the 'big bang', the authors give a geometric (and hence coordinate-independent) definition of the concept
Isotropic Cosmological Singularities: I. Polytropic Perfect Fluid Spacetimes
Abstract We consider the conformal Einstein equations for 1⩽ γ ⩽2 polytropic perfect fluid cosmologies which admit an isotropic singularity. For 1 γ ⩽2 it is shown that the Cauchy problem for these
Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant
We examine the late-time behavior of intially expanding homogeneous cosmological models satisfying Einstein's equation with a positive cosmological constant $\ensuremath{\Lambda}$. It is shown that
...
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