General Relativity

With Applications to Astrophysics

Norbert Straumann

676 pages, parution le 01/10/2004

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Résumé

This text provides a comprehensive and timely introduction to general relativity. The foundations of the theory in Part I are thoroughly developed together with the required mathematical background from differential geometry in Part III. The six chapters in Part II are devoted to tests of general relativity and to many of its applications. Binary pulsars are studied in considerable detail. Much space is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel's proof of his uniqueness theorem, and derivations of the basic laws of black hole physics. The final chapter of this part contains Witten's proof of the positive energy theorem.

The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It is very well structured and should become a standard text for a modern treatment of gravitational physics. The clear presentation of differential geometry makes it also useful for string theory and other fields of physics, classical as well as quantum. General Relativity is a complete revision and extension of Straumann's well-known classic textbook "General Relativity and Relativistic Astrophysics."

Written for:
Graduate students

Sommaire

Part I The General Theory of Relativity
- Physics in External Gravitational Fields
- Einstein's Field Equations
Part II Applications of General Relativity
- The Schwarzschild Solution and Classical Tests of General Relativity
- Weak Gravitational Fields
- The Post-Newtonian Approximation
- White Dwarfs and Neutron Stars
- Black Holes
- The Positive Mass Theorem
Part III Differential Geometry
- Differentiable Manifolds
- Tangent Vectors, Vector and Tensor Fields
- The Lie Derivative
- Differential Forms
- Affine Connections
- Some Details

A Fundamental Equations for Hypersurfaces
B Ricci Curvature of Warped Products
C Frobenius Integrability Theorem
D Collection of Important Formulas

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Norbert Straumann
Parution	01/10/2004
Nb. de pages	676
Format	16 x 24
Couverture	Relié
Poids	1060g
Intérieur	Noir et Blanc
EAN13	9783540219248