Gravitational Waves and Black Holes: an Introduction to General Relativity
by J.W. van Holten
Publisher: arXiv 1997
Number of pages: 97
In these lectures general relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions representing traveling waves as well as stationary fields like those of black holes are discussed. Their properties are investigated by studying the geodesic structure of the corresponding space-times, as representing the motion of point-like test particles. The interaction between gravitational, electro-magnetic and scalar fields is also considered.
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by Eric Poisson - University of Guelph
These lecture notes are suitable for a one-semester course at the graduate level. Table of contents: Fundamentals; Geodesic congruences; hypersurfaces; Lagrangian and Hamiltonian formulations of general relativity; Black holes.
by Christian Heinicke, Friedrich W. Hehl - arXiv
Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild solution, and into one specific stationary solution, the Kerr solution.
by Sean M. Carroll
General relativity has a reputation of being extremely difficult. This introduction is a very pragmatic affair, intended to give you some immediate feel for the language of GR. It does not substitute for a deep understanding -- that takes more work.
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.