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
6 - Solutions of Einstein’s Equations in Empty Space
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
In this chapter some empty space solutions of Einstein's are presented. The form of the Ricci tensor for a general spherical spherically symmetric static metric is given, from which the Schwarzschild solution is derived. Gravitational waves are presented as a solution of Einstein’s equations in empty space in a linear approximation.
Keywords
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- Chapter
- Information
- Einstein's General Theory of RelativityA Concise Introduction, pp. 126 - 138Publisher: Cambridge University PressPrint publication year: 2023