General Covariance and the Foundations of General Relativity
by John D Norton
Publisher: University of Pittsburgh 1993
Number of pages: 71
This text reviews the development of Einstein's thought on general covariance (the fundamental physical principle of his general theory of relativity), its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint.
Home page url
Download or read it online for free here:
by Neil Lambert - King's College London
Contents: Introduction; Manifolds and Tensors; General Relativity (Derivation, Diffeomorphisms as Gauge Symmetries, Weak Field Limit, Tidal Forces, ...); The Schwarzchild Black Hole; More Black Holes; Non-asymptotically Flat Solutions.
by Clifford M. Will - arXiv
The status of experimental tests of general relativity and of theoretical frameworks for analyzing them are reviewed and updated. Tests of general relativity have reached high precision, including the light deflection, the Shapiro time delay, etc.
by Domenico Giulini - arXiv.org
This text introduces the reader to the reformulation of Einstein's field equations of General Relativity as a constrained evolutionary system of Hamiltonian type and discusses some of its uses, together with some technical and conceptual aspects.
by Nikodem J. Poplawski - arXiv
A self-contained introduction to the classical theory of spacetime and fields. Topics: Spacetime (tensors, affine connection, curvature, metric, Lorentz group, spinors), Fields (principle of least action, action for gravitational field, matter, etc)