Partial differential equations in general relativity
 Author/Creator
 Rendall, Alan D.
 Language
 English.
 Imprint
 Oxford ; New York : Oxford University Press, 2008.
 Physical description
 xvi, 279 p. : ill. ; 24 cm.
 Series
 Oxford graduate texts in mathematics ; 16.
Access
Available online

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QA377 .R46 2008

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QA377 .R46 2008
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. [263]275) and index.
 Contents

 1. Introduction 2. General relativity 3. Matter models 4. Symmetry classes 5. Ordinary differential equations 6. Functional Analysis 7. Elliptic Equations 8. Hyperbolic Equations 9. The Cauchy problem for the Einstein equations 10. Global results 11. The EinsteinVlasov Equation 12. The Einsteinscalar field system.
 (source: Nielsen Book Data)
 Publisher's Summary
 A graduate level text on a subject which brings together several areas of mathematics and physics: partial differential equations, differential geometry and general relativity. It explains the basics of the theory of partial differential equations in a form accessible to physicists and the basics of general relativity in a form accessible to mathematicians. In recent years the theory of partial differential equations has come to play an ever more important role in research on general relativity. This is partly due to the growth of the field of numerical relativity, stimulated in turn by work on gravitational wave detection, but also due to an increased interest in general relativity among pure mathematicians working in the areas of partial differential equations and Riemannian geometry, who have realized the exceptional richness of the interactions between geometry and analysis which arise. This book provides the background for those wishing to learn about these topics.It treats key themes in general relativity including matter models and symmetry classes and gives an introduction to relevant aspects of the most important classes of partial differential equations, including ordinary differential equations, and material on functional analysis. These elements are brought together to discuss a variety of important examples in the field of mathematical relativity, including asymptotically flat spacetimes, which are used to describe isolated systems, and spatially compact spacetimes, which are of importance in cosmology.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2008
 Responsibility
 Alan D. Rendall.
 Series
 Oxford graduate texts in mathematics ; 16
 ISBN
 0199215405
 9780199215409
 0199215413
 9780199215416