Non-inertial frames and Dirac observables in relativity
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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: 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: 8. Singular Lagrangians and constraint theory 9. Dirac observables invariant under the Hamiltonian gauge transformations generated by first-class constraints 10. Concluding remarks and open problems Appendix A. Canonical realizations of lie algebras, Poincare' group, Poincare' orbits and Wigner boosts Appendix B. Grassmann variables and pseudo-classical Lagrangian Appendix C. Relativistic perfect fluids and covariant relativistic thermo-dynamics References Index.
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