On all possible static spherically symmetric EYM solitons and black holes

We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein-Yang-Mills equations for any action of the rotation group (or SU(2)) by automorphisms of a principal bundle over space-time whose structure group is a compact semisimple Lie group G. These actions are characterized by a vector in the Cartan subalgebra of g and are called regular if the vector lies in the interior of a Weyl chamber. In the irregular cases (the majority for larger gauge groups) the boundary value problem that results for possible asymptotically flat soliton or black hole solutions is more complicated than in the previously discussed regular cases. In particular, there is no longer a gauge choice possible in general so that the Yang-Mills potential can be given by just real-valued functions. We prove the local existence of regular solutions near the singularities of the system at the center, the black hole horizon, and at infinity, establish the parameters that characterize these local solutions, and discuss the set of possible actions and the numerical methods necessary to search for global solutions. That some special global solutions exist is easily derived from the fact that su(2) is a subalgebra of any compact semisimple Lie algebra. But the set of less trivial global solutions remains to be explored.Comment: 26 pages, 2 figures, LaTeX, misprints corrected, 1 reference adde

Global behavior of solutions to the static spherically symmetric EYM equations

The set of all possible spherically symmetric magnetic static Einstein-Yang-Mills field equations for an arbitrary compact semi-simple gauge group $G$ was classified in two previous papers. Local analytic solutions near the center and a black hole horizon as well as those that are analytic and bounded near infinity were shown to exist. Some globally bounded solutions are also known to exist because they can be obtained by embedding solutions for the $G=SU(2)$ case which is well understood. Here we derive some asymptotic properties of an arbitrary global solution, namely one that exists locally near a radial value $r_{0}$, has positive mass $m(r)$ at $r_{0}$ and develops no horizon for all $r>r_{0}$. The set of asymptotic values of the Yang-Mills potential (in a suitable well defined gauge) is shown to be finite in the so-called regular case, but may form a more complicated real variety for models obtained from irregular rotation group actions.Comment: 43 page

On classical finite and affine W-algebras

This paper is meant to be a short review and summary of recent results on the structure of finite and affine classical W-algebras, and the application of the latter to the theory of generalized Drinfeld-Sokolov hierarchies.Comment: 12 page

Non-reductivism and the Metaphilosophy of Mind

This paper discusses the metaphilosophical assumptions that have dominated analytic philosophy of mind, and how they gave rise to the central question that the best-known forms of non-reductivism available have sought to answer, namely: how can mind fit within nature? Its goal is to make room for forms of non-reductivism that have challenged the fruitfulness of this question, and which have taken a different approach to the so-called “placement” problem. Rather than trying to solve the placement problem, the forms of non-reductivism discussed in this paper have put pressure on the metaphilosophical assumptions that have given rise to the question of the place of mind in nature in the first instance

Different battlegrounds, similar concerns? The “history wars” and the teaching of history in Australia and England

Debates about the purpose and content of history education in schools have been prevalent in most Westernised democratic nations over the last thirty years. At expense are essential questions concerning national identity/ies, competing narratives and the aims of history education. The impact of “history wars” have been felt within both Australia and England, as conservative commentators – including politicians and historians – have raised concerns about the depth and effectiveness of history education and have sought to make significant changes to the history curriculum for schools. This analysis examines the history wars in Australia and England, exploring the view that history education has been in danger and/or crisis and examining the curricular implications of a move toward greater recognition of national narratives. It raises some essential tensions that remain regarding two aspects of history teaching in both nations – (i) historiography and (ii) chronological understanding

Conceptualizing historical organization studies

© 2016 Academy of Management Review. The promise of a closer union between organizational and historical research has long been recognized. However, its potential remains unfulfilled: The authenticity of theory development expected by organization studies and the authenticity of historical veracity required by historical research place exceptional conceptual and empirical demands on researchers. We elaborate the idea of historical organization studies-organizational research that draws extensively on historical data, methods, and knowledge to promote historically informed theoretical narratives attentive to both disciplines. Building on prior research, we propose a typology of four differing conceptions of history in organizational research: History as evaluating, explicating, conceptualizing, and narrating. We identify five principles of historical organization studies-dual integrity, pluralistic understanding, representational truth, context sensitivity, and theoretical fluency-and illustrate our typology holistically from the perspective of institutional entrepreneurship. We explore practical avenues for a creative synthesis, drawing examples from social movement research and microhistory. Historically informed theoretical narratives whose validity derives from both historical veracity and conceptual rigor afford dual integrity that enhances scholarly legitimacy, enriching understanding of historical, contemporary, and future-directed social realities

Participatory Augering: A methodology for challenging perceptions of archaeology and landscape change

Public engagement is a significant feature of twenty-first-century archaeological practice. While more diverse audiences are connecting with the discipline in a multitude of ways, public perceptions of archaeology are still marred by stereotypes. Community excavations of ‘sites’ to discover ‘treasures’ which tell us about the ‘past’ overshadow other forms of public research output and hinder the potential of the discipline to contribute to contemporary society more widely. This paper proposes participatory augering as an active public engagement method that challenges assumptions about the nature of archaeological practice by focusing on interpretation at a landscape-scale. Through exploration of recent participatory augering research by the REFIT Project and Environmental Archaeologist Mike Allen, this paper demonstrates how the public can contribute to active archaeological research by exploring narratives of landscape change. Evaluation of the existing case studies reflects the potential of the approach to engage audiences with new archaeological methods and narratives which have the potential to transform perceptions of the discipline and, through knowledge exchange, drive community-led contributions to contemporary landscape management