9 citations · 14 across the 2 of their papers we have counts for
5 papers
The cosmological billiard attractor
J. Mark Heinzle, Claes Uggla, Niklas Rohr
This article is devoted to a study of the asymptotic dynamics of generic solutions of the Einstein vacuum equations toward a generic spacelike singularity. Starting from fundamenta…
Homoclinic chaos and energy condition violation
J. Mark Heinzle, N. Rohr, C. Uggla
In this letter we discuss the connection between so-called homoclinic chaos and the violation of energy conditions in locally rotationally symmetric Bianchi type IX models, where t…
Conformal regularization of Einstein's field equations
Niklas Rohr, Claes Uggla
To study asymptotic structures, we regularize Einstein's field equations by means of conformal transformations. The conformal factor is chosen so that it carries a dimensional scal…
Matter and dynamics in closed cosmologies
J. Mark Heinzle, N. Rohr, C. Uggla
To systematically analyze the dynamical implications of the matter content in cosmology, we generalize earlier dynamical systems approaches so that perfect fluids with a general ba…
Spherically symmetric relativistic stellar structures
J. Mark Heinzle, N. Rohr, C. Uggla
We investigate relativistic spherically symmetric static perfect fluid models in the framework of the theory of dynamical systems. The field equations are recast into a regular dyn…