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  5. Partial Differential Equations in General Relativity

Partial Differential Equations in General Relativity

Alan Rendall
Hardcover | Engels | Oxford Graduate Texts in Mathematics | nr. 16
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Omschrijving

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.

Specificaties

Betrokkenen

Auteur(s):
Uitgeverij:

Inhoud

Aantal bladzijden:
352
Taal:
Engels
Reeks:
Reeksnummer:
nr. 16

Eigenschappen

Productcode (EAN):
9780199215409
Verschijningsdatum:
9/06/2008
Uitvoering:
Hardcover
Formaat:
Genaaid
Afmetingen:
236 mm x 157 mm
Gewicht:
566 g
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