Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Notation and conventions
- Chapter 1 Special relativity and Minkowski spacetime
- Chapter 2 The Einstein equation
- Chapter 3 Basics of Lorentzian causality
- Chapter 4 The Penrose singularity theorem
- Chapter 5 The Einstein constraint equations
- Chapter 6 Scalar curvature deformation and the Einstein constraint equations
- Chapter 7 Asymptotically flat solutions of the Einstein constraint equations
- Chapter 8 On the center of mass and constant mean curvature surfaces of asymptotically flat initial data sets
- Chapter 9 On the Riemannian Penrose inequality
- References
- Index
Chapter 1 - Special relativity and Minkowski spacetime
Published online by Cambridge University Press: 03 April 2025
- Frontmatter
- Dedication
- Contents
- Preface
- Notation and conventions
- Chapter 1 Special relativity and Minkowski spacetime
- Chapter 2 The Einstein equation
- Chapter 3 Basics of Lorentzian causality
- Chapter 4 The Penrose singularity theorem
- Chapter 5 The Einstein constraint equations
- Chapter 6 Scalar curvature deformation and the Einstein constraint equations
- Chapter 7 Asymptotically flat solutions of the Einstein constraint equations
- Chapter 8 On the center of mass and constant mean curvature surfaces of asymptotically flat initial data sets
- Chapter 9 On the Riemannian Penrose inequality
- References
- Index
Summary
Minkowskian geometry provides a mathematical model of spacetime that resolves a number of perplexing issues that had arisen in physics by the dawn of the twentieth century. The model leads to surprising predictions for physics, which have been confirmed experimentally. In the chapter we review several well-known features of Minkowski spacetime, including Lorentz transformations, time dilation and Lorentz contraction, as well as its conformal compactification.
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- Lectures on Mathematical Relativity , pp. 1 - 46Publisher: Cambridge University PressPrint publication year: 2025