Differential Geometry and General Relativity Volume 1
This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyze...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Singapore
Springer Nature Singapore
2023, 2023
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| Edition: | 1st ed. 2023 |
| Series: | Graduate Texts in Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Topological Spaces in Brief
- Manifolds and Tensor Fields
- The Riemann (Intrinsic) Curvature Tensor
- Lie Derivative, Killing Fields and Hypersurfaces
- Differential Forms and Their Integrals
- Special Relativity
- Foundations of General Relativity
- Solving the Einstein’s Equation
- Schwarzschild Spacetimes
- Cosmology
- Appendix: The Conversion Between Systems of Geometrized and Nongeometrized Units