145 citations · 2.2k across the 67 of their papers we have counts for
4 papers · 1 filter
Perfect fluids and generic spacelike singularities
Patrik Sandin, Claes Uggla
We present the conformally 1+3 Hubble-normalized field equations together with the general total source equations, and then specialize to a source that consists of perfect fluids w…
Monotonic functions in Bianchi models: Why they exist and how to find them
J. Mark Heinzle, Claes Uggla
All rigorous and detailed dynamical results in Bianchi cosmology rest upon the existence of a hierarchical structure of conserved quantities and monotonic functions. In this paper…
A new proof of the Bianchi type IX attractor theorem
J. Mark Heinzle, Claes Uggla
We consider the dynamics towards the initial singularity of Bianchi type IX vacuum and orthogonal perfect fluid models with a linear equation of state. The `Bianchi type IX attract…
Mixmaster: Fact and Belief
J. Mark Heinzle, Claes Uggla
We consider the dynamics towards the initial singularity of Bianchi type IX vacuum and orthogonal perfect fluid models with a linear equation of state. Surprisingly few facts are k…