Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Metrics
- 3 Geodesics
- 4 The Geometry of Curved Spaces
- 5 Einstein’s Field Equations
- 6 Solutions of Einstein’s Equations in Empty Space
- 7 Cosmology and the Big Bang
- Appendix A Tensors of Type (p, q)
- Appendix B The Riemann Tensor
- Appendix C The Energy-Momentum Tensor
- Appendix D The Schwarzschild Metric
- Appendix E Robertson-Walker Space-Time
- References
- Index
2 - Metrics
Published online by Cambridge University Press: 15 June 2023
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Metrics
- 3 Geodesics
- 4 The Geometry of Curved Spaces
- 5 Einstein’s Field Equations
- 6 Solutions of Einstein’s Equations in Empty Space
- 7 Cosmology and the Big Bang
- Appendix A Tensors of Type (p, q)
- Appendix B The Riemann Tensor
- Appendix C The Energy-Momentum Tensor
- Appendix D The Schwarzschild Metric
- Appendix E Robertson-Walker Space-Time
- References
- Index
Summary
The concept to the metric is introduced. Various geometries, both flat and curved, are described including Euclidean space; Minkowski space-time; spheres; hyperbolic planes and expanding space-times. Lorentz transformations and relativistic time dilation in flat space-time is discussed as well as gravitational red-shift and the Global Positioning System. Hubble expansion and the cosmological red-shift are also explained.
Keywords
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- Chapter
- Information
- Einstein's General Theory of RelativityA Concise Introduction, pp. 14 - 43Publisher: Cambridge University PressPrint publication year: 2023