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On the Topology and Future Stability of the Universe
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On the Topology and Future Stability of the Universe

Hans Ringström

Abstract

The subject of the book is the topology and future stability of models of the universe. In standard cosmology, the universe is assumed to be spatially homogeneous and isotropic. However, it is of interest to know whether perturbations of the corresponding initial data lead to similar solutions or not. This is the question of stability. It is also of interest to know what the limitations on the global topology imposed by observational constraints are. These are the topics addressed in the book. The theory underlying the discussion is the general theory of relativity. Moreover, in the book, matt ... More

Keywords: cosmology, stability, universe, topology, kinetic theory, general relativity, cauchy problem

Bibliographic Information

Print publication date: 2013 Print ISBN-13: 9780199680290
Published to Oxford Scholarship Online: September 2013 DOI:10.1093/acprof:oso/9780199680290.001.0001

Authors

Affiliations are at time of print publication.

Hans Ringström, author
Associate Professor, Department of Mathematics, KTH Royal Institute of Technology, Sweden

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Contents

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Part I Prologue

Part II Introductory material

Part III Background and basic constructions

Part IV Function spaces, estimates

Part V Local theory

Part VI The Cauchy problem in general relativity

Part VII Spatial homogeneity

Part VIII Future global nonlinear stability