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The mixmaster universe: A chaotic Farey tale
Neil Cornish, Janna Levin
When gravitational fields are at their strongest, the evolution of spacetime is thought to be highly erratic. Over the past decade debate has raged over whether this evolution can…
The tale of two centres
Neil Cornish, Gary Gibbons
We study motion in the field of two fixed centres described by a family of Einstein-dilaton-Maxwell theories. Transitions between regular and chaotic motion are observed as the dil…
The black hole that went away
Neil J. Cornish
A purported black hole solution in (2+1)-dimensions is shown to be nothing more than flat space viewed from an accelerated frame.
The Princess and the Pea
Neil Cornish, Norm Frankel
Like a fairy-tale princess, trajectories around black holes can be sensitive to small disturbances. We describe how a small disturbance can lead to erratic orbits and an increased…
The mixmaster universe is chaotic
Neil J. Cornish, Janna J. Levin
For the past decade there has been a considerable debate about the existence of chaos in the mixmaster cosmological model. The debate has been hampered by the coordinate, or observ…
Time and Chaos in General Relativity
Neil J. Cornish
The study of dynamics in general relativity has been hampered by a lack of coordinate independent measures of chaos. Here we present a variety of invariant measures for quantifying…