Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-07-11
Class.Quant.Grav. 20 (2003) 5275-5290
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages. LaTeX2e. IOP Style
Scientific paper
10.1088/0264-9381/20/24/003
In this paper we consider the Long-Wavelength Approximation Scheme (LWAS) in the framework of the covariant fluid approach to general relativistic dynamics, specializing to the particular case of irrotational dust matter. We discuss the dynamics of these models during the approach to any spacelike singularity where a BKL-type evolution is expected, studying the validity of this approximation scheme and the role of the magnetic part of the Weyl tensor, $H_{ab}$. Our analytic results confirm a previous numerical analysis: it is $H_{ab}$ that destroys the pure Kasner-like approach to the singularity and eventually produces the bounce to another Kasner phase. Expanding regions evolve as separate universes where inhomogeneities and anisotropies die away.
Bruni Marco
Sopuerta Carlos F.
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