Asymptotic dynamics of the exceptional Bianchi cosmologies

In this paper we give, for the first time, a qualitative description of the asymptotic dynamics of a class of non-tilted spatially homogeneous (SH) cosmologies, the so-called exceptional Bianchi cosmologies, which are of Bianchi type VI$_{-1/9}$. This class is of interest for two reasons. Firstly, it is generic within the class of non-tilted SH cosmologies, being of the same generality as the models of Bianchi types VIII and IX. Secondly, it is the SH limit of a generic class of spatially inhomogeneous $G_{2}$ cosmologies. Using the orthonormal frame formalism and Hubble-normalized variables, we show that the exceptional Bianchi cosmologies differ from the non-exceptional Bianchi cosmologies of type VI$_{h}$ in two significant ways. Firstly, the models exhibit an oscillatory approach to the initial singularity and hence are not asymptotically self-similar. Secondly, at late times, although the models are asymptotically self-similar, the future attractor for the vacuum-dominated models is the so-called Robinson-Trautman SH model instead of the vacuum SH plane wave models.Comment: 15 pages, 6 figures, submitted to Class. Quantum Gra

Integrability and explicit solutions in some Bianchi cosmological dynamical systems

The Einstein field equations for several cosmological models reduce to polynomial systems of ordinary differential equations. In this paper we shall concentrate our attention to the spatially homogeneous diagonal G_2 cosmologies. By using Darboux's theory in order to study ordinary differential equations in the complex projective plane CP^2 we solve the Bianchi V models totally. Moreover, we carry out a study of Bianchi VI models and first integrals are given in particular cases

Electromagnetic wave characteristics of a fully ionized gas Final report

Electromagnetic wave propagation in fully ionized ga

Reconsidering Reconciliation: The Long Game

High among the purposes of entrenching Aboriginal and treaty rights in section 35 of the Constitution Act, 1982 is to promote reconciliation. Recently, the Chief Justice of the Supreme Court of Canada has emphasized the importance of reconciliation between Canada and Aboriginal people. Yet, in section 35 jurisprudence what the Court has been reconciling is the pre-existence of Aboriginal people occupying the land with Crown sovereignty. This is less than reconciling a broader relationship. It is a fundamentally flawed premise, which ultimately results in the reproduction of a colonial order and hierarchical relationship between peoples. How the n, do we achieve reconciliation between Canada and Aboriginal people? We need a conception of reconciliation founded on recognition of the “equality of all peoples”, which in turn necessitates recognition of the illegitimacy of the Crown’s claims to having acquired ownership of and sovereignty over lands occupied by Aboriginal peoples through unilateral Crown assertion. Drawing on the One Dish agreement of the Anishinabe and Haudenosaunee as an example of how culturally different relationships can be successfully reconciled, the author argues for reconceptualization of reconciliation built on principles of equality, sharing, honour, trust, consultation, restraint and maintenance

Land Acknowledgment, Scripting and Julius Caesar

This essay follows my presentation at Osgoode’s 21st Constitutional Cases Conference on the growing practice of land acknowledgments, honour and the legacy of now retired Chief Justice McLachlin. During the presentation, I examined some of the Supreme Court of Canada’s constitutional cases arising out of section 35 of the Constitution Act, 1982, along with the practice of land acknowledgments in academic spaces. What follows is an essay critically examining scripted land acknowledgments mainly from post-secondary institutions in Canada. Are land acknowledgments contributing to Canada’s national reconciliation project as so often purported? I consider whether the practice is becoming too comfortable rather than challenging colonization and oppression, which should be uncomfortable. Throughout I offer some reflections on how to evolve the growing practice of land acknowledgments to “version 2.0”