Spacetime and Fields
by Nikodem J. Poplawski
Publisher: arXiv 2009
Number of pages: 114
We present a self-contained introduction to the classical theory of spacetime and fields. The order of the presentation is: 1. Spacetime (tensors, affine connection, curvature, metric, tetrad and spin connection, Lorentz group, spinors), 2. Fields (principle of least action, action for gravitational field, matter, symmetries and conservation laws, gravitational field equations, spinor fields, electromagnetic field).
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by Eric Poisson - University of Guelph
From the table of contents: Preliminaries; Integration techniques; First post-Minkowskian approximation; Second post-Minkowskian approximation; Equations of motion; Gravitational waves; Energy radiated and radiation reaction.
by Bernard F Schutz, Franco Ricci - arXiv
Notes of lectures for graduate students, covering the theory of linearized gravitational waves, their sources, and the prospects at the time for detecting gravitational waves. The lectures remain of interest for pedagogical reasons.
by Tevian Dray - Oregon State University
The manuscript emphasizes the use of differential forms, rather than tensors, which are barely mentioned. The focus is on the basic examples, namely the Schwarzschild black hole and the Friedmann-Robertson-Walker cosmological models.
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We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without symmetries.