Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Special Relativity: Minkowski Space-Time
- 1 Galilei and Minkowski Space-Times
- 2 Global Non-Inertial Frames in Special Relativity
- 3 Relativistic Dynamics and the Relativistic Center of Mass
- 4 Matter in the Rest-Frame Instant Form of Dynamics
- Part II General Relativity: Globally Hyperbolic Einstein Space-Times
- Part III Dirac–Bergmann Theory of Constraints
- Appendix A Canonical Realizations of Lie Algebras, Poincaré Group, Poincar´e Orbits, and Wigner Boosts
- Appendix B Grassmann Variables and Pseudo–Classical Lagrangians
- Appendix C Relativistic Perfect Fluids and Covariant Thermodynamics
- References
- Index
1 - Galilei and Minkowski Space-Times
from Part I - Special Relativity: Minkowski Space-Time
Published online by Cambridge University Press: 17 June 2019
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Special Relativity: Minkowski Space-Time
- 1 Galilei and Minkowski Space-Times
- 2 Global Non-Inertial Frames in Special Relativity
- 3 Relativistic Dynamics and the Relativistic Center of Mass
- 4 Matter in the Rest-Frame Instant Form of Dynamics
- Part II General Relativity: Globally Hyperbolic Einstein Space-Times
- Part III Dirac–Bergmann Theory of Constraints
- Appendix A Canonical Realizations of Lie Algebras, Poincaré Group, Poincar´e Orbits, and Wigner Boosts
- Appendix B Grassmann Variables and Pseudo–Classical Lagrangians
- Appendix C Relativistic Perfect Fluids and Covariant Thermodynamics
- References
- Index
Summary
After a description of inertial and non-inertial frames in the Galilei space-time of non-relativistic Newtonian physics with a discussion of inertial forces, there is metrological definition of what is time and space in special relativity. Then there is a review of the standard 1+3 approach for the “local” description of non-inertial frames and of its limitations.
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- Publisher: Cambridge University PressPrint publication year: 2019