General Relativity and the Einstein Equations - Rilegato

Choquet-Bruhat, Yvonne

 
9780199230723: General Relativity and the Einstein Equations
Rilegato
ISBN 10: 0199230722 ISBN 13: 9780199230723
Casa editrice: OUP Oxford, 2008

Sinossi

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.

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Recensione

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)

Contenuti

  • 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

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Editore
OUP Oxford
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
0199230722
ISBN 13 
9780199230723
Rilegatura
Copertina rigida
Numero di pagine
816
Contatto del produttore
Messaggerie Libri
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