Assuming foundational knowledge of special and general relativity, this book guides the reader on issues surrounding black holes, wormholes, cosmology, and extra dimensions. Its first part is devoted to local strong field configurations (black holes and wormholes) in general relativity and the most relevant of alternative theories: scalar-tensor, f(R) and multidimensional theories. The second part is on cosmology, including inflation and a unified description of the whole evolution of the universe. The third part concerns multidimensional theories of gravity and contains a number of original results obtained by the authors. Expository work is conducted for a mechanism of symmetries and fundamental constants formation, while the original approach to nonlinear multidimensional gravity that is able to construct a unique perspective describing different phenomena is highlighted.Much of the content is new in book publications, because it was previously found only in journal publications, e.g. regarding regular black holes, various scalar field solutions, wormholes and their stability, and multidimensional gravity.
This book explores the traces of the passage of time on the protracted and intractable conflict of Western Sahara. The authors offer a multilevel analysis of recent developments from the global to the local scenes, including the collapse of the architecture of the UN-led conflict resolution process, the advent of the War on Terror to the the Sahara-Sahel area and the impact of the 'Arab Spring' and growing regional security instability. Special attention is devoted to changes in the Western Sahara territory annexed by Morocco and the Sahrawi refugee camps in Algeria. Morocco has adapted its governance and public policies to profound socio-demographic transformations in the territory under its control and has attempted to obtain international recognition for this annexation by proposing an Autonomy Plan. The Polisario Front and Sahrawi nationalists have shifted their strategy and pushed the centre of gravity of the conflict back inwards by focusing on pro-independence activism inside the disputed territory.
One-dimensional dynamics has developed in the last decades into a subject in its own right. Yet, many recent results are inaccessible and have never been brought together. For this reason, we have tried to give a unified ac count of the subject and complete proofs of many results. To show what results one might expect, the first chapter deals with the theory of circle diffeomorphisms. The remainder of the book is an attempt to develop the analogous theory in the non-invertible case, despite the intrinsic additional difficulties. In this way, we have tried to show that there is a unified theory in one-dimensional dynamics. By reading one or more of the chapters, the reader can quickly reach the frontier of research. Let us quickly summarize the book. The first chapter deals with circle diffeomorphisms and contains a complete proof of the theorem on the smooth linearizability of circle diffeomorphisms due to M. Herman, J.-C. Yoccoz and others. Chapter II treats the kneading theory of Milnor and Thurstonj also included are an exposition on Hofbauer's tower construction and a result on fuB multimodal families (this last result solves a question posed by J. Milnor).