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The generic model of General Relativity
This note contains below topics, The generic model of GR, The background mathematical space, The observers Kinematics, The propagation and the constraint equations, The 1 3 decomposition of the Bianchi identity, Propagation of the kinematic quantities along a collineation vector, The 1 3 decomposition of the Lie derivative LXa b wrt Xa, The matter Dynamics, The role of observers in GR, The physical role of the propagation and the constraint equations, The dynamic role of collineations, Example The Bianchi model, The string fluid, The 1 1 2 decomposition wrt a double congruence, Lie derivative and the 1 1 2 decomposition, The Lie derivative of Rab wrt a collineation a.
Author(s): Michael Tsamparlis
55 Pages 
The generic model of General Relativity
This note contains below topics, The generic model of GR, The background mathematical space, The observers Kinematics, The propagation and the constraint equations, The 1 3 decomposition of the Bianchi identity, Propagation of the kinematic quantities along a collineation vector, The 1 3 decomposition of the Lie derivative LXa b wrt Xa, The matter Dynamics, The role of observers in GR, The physical role of the propagation and the constraint equations, The dynamic role of collineations, Example The Bianchi model, The string fluid, The 1 1 2 decomposition wrt a double congruence, Lie derivative and the 1 1 2 decomposition, The Lie derivative of Rab wrt a collineation a.
Author(s): Michael Tsamparlis
55 Pages
This note contains below topics, Principle of Relativity, Lorentz transform, Using the Lorentz transform length contraction time dilation, Simultaneous events causally connected events, Addition of velocities, 4vectors velocity energymomentum, Energymomentum of photon Doppler effect aberration, Relativistic dynamics, Electromagnetic fields in different frames.
Author(s): Nadia L. Zakamska
101 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
This book covers the following topics: The Electrodynamics of Moving Bodies, Principle of Relativity, The Generalised Principle of Relativity.
Author(s): Albert Einstein
272 Pages
This a textbook on special relativity, aimed at undergraduates who have already completed a freshman survey course. The treatment of electromagnetism assumes previous exposure to Maxwell's equations in integral form, but no knowledge of vector calculus. Topics covered includes: Spacetime, Foundations, Kinematics, Dynamics, Inertia, Waves, Coordinates, Rotation, Flux and Electromagnetism.
Author(s): Benjamin Crowell
236 Pages
Lecture Notes on General Relativity by Columbia University
This book covers the following topics: Special Relativity, Lorentzian Geometry, Introduction to General Relativity, Null Structure Equations, Applications to Null Hypersurfaces, Christodoulou’s Memory Effect, Black Holes, Lagrangian Theories and the Variational Principle, Hyperbolic Equations and Wave Propagation on Black Holes.
Author(s): Columbia University
139 Pages
The Adventure of Physics Vol II Relativity
This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and empty space move leads to many adventures. This volume presents the best of them in the domains of fast, intense and distant motion relativity and cosmology.
Author(s): Christoph Schiller
356 Pages