Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Special Relativity: Minkowski Space-Time
- Part II General Relativity: Globally Hyperbolic Einstein Space-Times
- 5 Hamiltonian Gravity in Einstein Space-Times
- 6 ADM Tetrad Gravity and Its Constraints
- 7 Post-Minkowskian and Post-Newtonian Approximations
- 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
7 - Post-Minkowskian and Post-Newtonian Approximations
from Part II - General Relativity: Globally Hyperbolic Einstein Space-Times
Published online by Cambridge University Press: 17 June 2019
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Special Relativity: Minkowski Space-Time
- Part II General Relativity: Globally Hyperbolic Einstein Space-Times
- 5 Hamiltonian Gravity in Einstein Space-Times
- 6 ADM Tetrad Gravity and Its Constraints
- 7 Post-Minkowskian and Post-Newtonian Approximations
- 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
The post-Minkowskian limit of ADM tetrad gravity in the 3-orthogonal gauges of the non-inertial rest-frames is defined with particles and the electromagnetic field as matter. Then, the post-Newtonian expansion of the post-Minkowskian linearization is studied. For binaries, the results are compatible with the standard one in harmonic gauges. However, there is the new result that a non-local version of the inertial gauge variable York time may explain many of the experimental data giving rise to the existence of dark matter, which would be reduced to a relativistic inertial effect to be treated by means of relativistic celestial metrology.
- Type
- Chapter
- Information
- Non-Inertial Frames and Dirac Observables in Relativity , pp. 167 - 186Publisher: Cambridge University PressPrint publication year: 2019