Overview

General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.

Full Product Details

Author:   Yvonne Choquet-Bruhat (, Membre de l'Académie des Sciences, Paris)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.20cm , Height: 4.50cm , Length: 24.10cm
Weight:   1.231kg
ISBN:  

9780199230723

ISBN 10:   0199230722
Pages:   816
Publication Date:   04 December 2008
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Foreword Acknowledgements 1: Lorentzian Geometry 2: Special Relativity 3: General Relativity and the Einstein Equations 4: Schwarzschild Space-time and Black Holes 5: Cosmology 6: Local Cauchy Problem 7: Constraints 8: Other Hyperbolic-Elliptic systems 9: Relativistic Fluids 10: Kinetic Theory 11: Progressive Waves 12: Global Hyperbolicity and Causality 13: Singularities 14: Stationary Space-times and Black Holes 15: Global Existence Theorems, Asymptotically Euclidean Data 16: Global existence theorems, cosmological case Appendices I: Sobolev Spaces II: Elliptic Systems III: Second Order Quasidiagonal Systems IV: General Hyperbolic Systems V: Cauchy Kovalevski and Fuchs theorems VI: Conformal Methods VII: Kaluza Klein Formulas

Reviews

The book is a refreshing exposition of what is not known: The reader will come away feeling that general relativity has many exciting aspects to it just waiting to be discovered. Physics Today

<br> Yvonne Choquet-Bruhat's General Relativity and the Einstein Equations stands out from the crowd and is a remarkable resource. Choquet-Bruhat and her guests explain many difficult points in the theory with a rigor and clarity not found anywhere else. But the book is also a refreshing exposition of what is not known: The reader will come away feeling that general relativity has many exciting aspects to it just waiting to be discovered. --Physics Today<p><br>

The book is a refreshing exposition of what is not known: The reader will come away feeling that general relativity has many exciting aspects to it just waiting to be discovered. * Physics Today *

<br> Yvonne Choquet-Bruhat's General Relativity and the Einstein Equations stands out from the crowd and is a remarkable resource. Choquet-Bruhat and her guests explain many difficult points in the theory with a rigor and clarity not found anywhere else. But the book is also a refreshing exposition of what is not known: The reader will come away feeling that general relativity has many exciting aspects to it just waiting to be discovered. --Physics Today<br>

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions