Cambridge University Press Non-Inertial Frames and Dirac Observables in Relativity

This Cambridge University Press monograph provides a comprehensive treatment of non-inertial frames and Dirac observables in both special and general relativity. The book begins with special relativity and Minkowski spacetime, establishing foundational concepts before advancing to general relativity, globally hyperbolic Einstein spacetime, and the 3+1 splitting method. Using Hamiltonian formalism and Dirac-Bergmann constraint theory, the author demonstrates that transitions between non-inertial frames constitute gauge transformations. This rigorous mathematical physics text is essential for researchers and advanced students seeking a deeper understanding of reference frames in relativistic theories and their role in interpreting Einstein's equations.