We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A Dynamical Systems Approach to Geodesics in Bianchi Cosmologies.
- Authors
Nilsson, Ulf; Uggla, Claes; Wainwright, John
- Abstract
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. Dynamical systems theory, in conjunction with the orthonormal frame approach, has proved to be an invaluable tool for analyzing spatially homogeneous cosmologies. It is thus natural to use such techniques to study the geodesics of these models. We therefore augment the Einstein field equations with the geodesic equations, all written in dimensionless form, obtaining an extended system of first-order ordinary differential equations that simultaneously describes the evolution of the gravitational field and the behavior of the associated geodesics. It is shown that the extended system is a powerful tool for investigating the effect of spacetime anisotropies on the temperature of the cosmic microwave background radiation, and that it can also be used for studying geodesic chaos.
- Publication
General Relativity & Gravitation, 2000, Vol 32, Issue 7, p1319
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1023/A:1001946821956