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Dynamical systems approach to G2 cosmology
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
2002 (English)In: Class.Quant.Grav. 19 (2002) 51-82Article in journal (Refereed)
Abstract [en]

In this paper we present a new approach for studying the dynamics of spatially inhomogeneous cosmological models with one spatial degree of freedom. By introducing suitable scale-invariant dependent variables we write the evolution equations of the Einstein field equations as a system of autonomous partial differential equations in first-order symmetric hyperbolic format, whose explicit form depends on the choice of gauge. As a first application, we show that the asymptotic behaviour near the cosmological initial singularity can be given a simple geometrical description in terms of the local past attractor on the boundary of the scale-invariant dynamical state space. The analysis suggests the name ``asymptotic silence'' to describe the evolution of the gravitational field near the cosmological initial singularity

Place, publisher, year, edition, pages
2002.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-18481OAI: oai:DiVA.org:kau-18481DiVA: diva2:592116
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21

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  • apa
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