Equilibrium configurations in the dynamics of irrotational dust matter

Details Equilibrium configurations in the dynamics of irrotational dust matter Equilibrium configurations in the dynamics of irrotational dust matter

2001-10-04

arxiv.org/abs/gr-qc/0110025v1

Class.Quant.Grav. 18 (2001) 4779-4800

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, LaTeX2e, IOP style. To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/18/22/305

Irrotational dust solutions of Einstein's equations are suitable models to describe the general-relativistic aspects of the gravitational instability mechanism for the formation of cosmic structures. In this paper we study their state space by considering the local initial-value problem formulated in the covariant fluid approach. We consider a wide range of models, from homogeneous and isotropic to highly inhomogeneous irrotational dust models, showing how they constitute equilibrium configurations (invariant sets) of the dynamics. Moreover, we give the characterization of such configurations, which provides an initial-data characterization of the models under consideration.

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