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General Relativity by Chris Blake
This book discusses one of the crowning achievements of modern physics: the General Theory of Relativity (GR). Major topics covered includes: Special Relativity, Index Notation, Electromagnetism, Accelerated Motion, Equivalence Principle, Curved Space and Metrics, Geodesics, Tensors, Black Holes, Einstein Equation and Cosmology.
Author(s): Chris Blake
NA 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
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
Theory of Special Relativity by Nadia L Zakamska
This note covers the following topics: Principle of Relativity, Lorentz transform, Simultaneous events, causally connected events, Addition of velocities, 4-vectors: velocity, energy-momentum, Energy-momentum of photon, Doppler effect, aberration, Relativistic dynamics, Electromagnetic fields in different frames.
Author(s): Nadia L. Zakamska
101 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
Einsteins theory of relativity
The reader is assumed to have but little mathematical knowledge. Topics covered includes: Geometry and Cosmology, The Fundamental Laws of Classical Mechanics, The Newtonian World-System, The Fundamental Laws of Optics, The Fundamental Laws of Electrodynamics and Einstein's Special Principle of Relativity.
Author(s): Max Born, Henry L. Brose
322 Pages
Lecture Notes on General Relativity
The aim of these lecture notes is to provide a reasonably selfcontained 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, KaluzaKlein Theory.
Author(s): Matthias Blau
938 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