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Lecture Notes on General Relativity
The aim of these lecture notes is to provide a reasonably self-contained introduction to General Relativity, including a variety of applications of the theory, ranging from the solar system to gravitational waves, black holes and cosmology. This book covers the following topics: Physics in a Gravitational Field and General Covariance, General Relativity and Geometry, Dynamics of the Gravitational Field, General Relativity and the Solar System, Black Holes, Cosmology, Varia, Kaluza-Klein Theory.
Author(s): Matthias Blau
938 Pages 
Lecture Notes on Relativity by Juan A. Valiente Kroon
This note explains the following topics: Special relativity, Prelude to general relativity, Differential geometry and tensor calculus, Curvature and general relativity.
Author(s): Dr. Juan A. Valiente Kroon,University of London
80 Pages
General Relativity Lecture Notes by Ulrich Sperhake
The contents of this lecture notes are : Preliminaries, Differential geometry, Physical laws in curved spacetimes, The Schwarzschild solution and classic tests of GR, Cosmology, Singularities and geodesic incompleteness, Linearized theory and gravitational waves.
Author(s): Ulrich Sperhake
153 Pages
Notes on Relativity and Cosmology
This book explains the following topics: Space, Time, and Newtonian Physics, Maxwell, E and M, and the Ether, Einstein and Inertial Frames, Minkowskian Geometry, Accelerating Reference Frames, Dynamics, Relativity and the Gravitational Field, General Relativity and Curved Spacetime, Black Hole, Cosmology.
Author(s): Donald Marolf
NA Pages
General Relativity and Cosmology
This book explains the following topics: Frames of Reference, Newtonian Relativity, Einsteinian Relativity, Geometry of Flat Spacetime, Electrodynamics in Special Relativity.
Author(s): James Cresser
NA Pages