Cambridge University Press Cambridge Non-Inertial Frames and Dirac Observables Book

Deepen your understanding of general relativity with this specialized text from Cambridge University Press. Part of the Cambridge Monographs on Mathematical Physics series, this book provides a detailed description of global non-inertial frames in both special and general relativity. Readers will explore the fundamental principles of Minkowski space time before moving into complex topics such as globally hyperbolic Einstein space-time. The text applies the 3+1 splitting method to general relativity, offering a rigorous approach to mathematical physics. By utilizing a Hamiltonian description and the Dirac-Bergmann theory of constraints, the author demonstrates how transitions between non-inertial frames function as gauge transformations. This resource is designed for those seeking a precise mathematical framework for interpreting relativity through the lens of Dirac observables and non-inertial frames.