The stability of photon trajectories in models of the universe that have constant spatial curvature is determined by the sign of the curvature: they are exponentially unstable if the curvature is negative and stable if it is positive or zero. We demonstrate that random fluctuations in the curvature provide an additional stabilizing mechanism. This mechanism is analogous to the one responsible for stabilizing the stochastic Kapitsa pendulum. When the mean curvature is negative it is capable of stabilizing the photon trajectories; when the mean curvature is zero or positive it determines the characteristic frequency with which neighbouring trajectories oscillate about each other. In constant negative curvature models of the universe that have compact topology, exponential instability implies chaos (e.g. mixing) in the photon dynamics. We discuss some consequences of stochastic stabilization in this context.
|Translated title of the contribution||Stochastic stabilization of cosmological photons|
|Pages (from-to)||L377 - L383|
|Number of pages||7|
|Journal||Journal of Physics A: Mathematical and General|
|Publication status||Published - Jul 2004|
Bibliographical notePublisher: Institute of Physics Publishing
Other identifier: IDS Number: 847AN