General Relativity With Applications to Astrophysics
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 re...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2004, 2004
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| Edition: | 1st ed. 2004 |
| Series: | Theoretical and Mathematical Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Physics in External Gravitational Fields
- 2 Einstein’s Field Equations
- 3 The Schwarzschild Solution and Classical Tests of General Relativity
- 4 Weak Gravitational Fields
- 5 The Post-Newtonian Approximation
- 6 White Dwarfs and Neutron Stars
- 7 Black Holes
- 8 The Positive Mass Theorem
- 9 Differentiable Manifolds
- 10 Tangent Vectors, Vector and Tensor Fields
- 11 The Lie Derivative
- 12 Differential Forms
- 13 Affine Connections
- 14 Some Details
- A Fundamental Equations for Hypersurfaces
- B Ricci Curvature of Warped Products
- C Frobenius Integrability Theorem
- D Collection of Important Formulas
- References